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Finding the Third Proportional to 413,729,532 and 617,006,484

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Solution

The third proportional to 413,729,532 and 617,006,484 is: 920,159,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,729,532 : 617,006,484 = 617,006,484 : x
  2. Step 2: Convert to fraction form
    413,729,532/617,006,484 = 617,006,484/x
  3. Step 3: Cross multiply
    413,729,532x = 617,006,484 × 617,006,484
  4. Step 4: Simplify right side
    413,729,532x = 380,697,001,298,042,240
  5. Step 5: Solve for x
    x = 380,697,001,298,042,240/413,729,532
  6. Step 6: Final answer
    x = 920,159,118.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.