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Finding the Third Proportional to 717,502,939,984 and 1,009,119,878,448

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Solution

The third proportional to 717,502,939,984 and 1,009,119,878,448 is: 1,419,259,590,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,502,939,984 : 1,009,119,878,448 = 1,009,119,878,448 : x
  2. Step 2: Convert to fraction form
    717,502,939,984/1,009,119,878,448 = 1,009,119,878,448/x
  3. Step 3: Cross multiply
    717,502,939,984x = 1,009,119,878,448 × 1,009,119,878,448
  4. Step 4: Simplify right side
    717,502,939,984x = 1,018,322,929,078,906,327,662,592
  5. Step 5: Solve for x
    x = 1,018,322,929,078,906,327,662,592/717,502,939,984
  6. Step 6: Final answer
    x = 1,419,259,590,910.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.