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Finding the Third Proportional to 484,119,714 and 1,048,897,860

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Solution

The third proportional to 484,119,714 and 1,048,897,860 is: 2,272,550,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,119,714 : 1,048,897,860 = 1,048,897,860 : x
  2. Step 2: Convert to fraction form
    484,119,714/1,048,897,860 = 1,048,897,860/x
  3. Step 3: Cross multiply
    484,119,714x = 1,048,897,860 × 1,048,897,860
  4. Step 4: Simplify right side
    484,119,714x = 1,100,186,720,712,579,584
  5. Step 5: Solve for x
    x = 1,100,186,720,712,579,584/484,119,714
  6. Step 6: Final answer
    x = 2,272,550,959.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.