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Finding the Third Proportional to 5,878,421 and 8,906,232

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Solution

The third proportional to 5,878,421 and 8,906,232 is: 13,493,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878,421 : 8,906,232 = 8,906,232 : x
  2. Step 2: Convert to fraction form
    5,878,421/8,906,232 = 8,906,232/x
  3. Step 3: Cross multiply
    5,878,421x = 8,906,232 × 8,906,232
  4. Step 4: Simplify right side
    5,878,421x = 79,320,968,437,824
  5. Step 5: Solve for x
    x = 79,320,968,437,824/5,878,421
  6. Step 6: Final answer
    x = 13,493,584.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.