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Finding the Third Proportional to 474,929,654 and 726,518,612

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Solution

The third proportional to 474,929,654 and 726,518,612 is: 1,111,384,157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,929,654 : 726,518,612 = 726,518,612 : x
  2. Step 2: Convert to fraction form
    474,929,654/726,518,612 = 726,518,612/x
  3. Step 3: Cross multiply
    474,929,654x = 726,518,612 × 726,518,612
  4. Step 4: Simplify right side
    474,929,654x = 527,829,293,582,406,528
  5. Step 5: Solve for x
    x = 527,829,293,582,406,528/474,929,654
  6. Step 6: Final answer
    x = 1,111,384,157.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.