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Finding the Third Proportional to 510,143,488 and 715,832,448

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Solution

The third proportional to 510,143,488 and 715,832,448 is: 1,004,454,836.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,143,488 : 715,832,448 = 715,832,448 : x
  2. Step 2: Convert to fraction form
    510,143,488/715,832,448 = 715,832,448/x
  3. Step 3: Cross multiply
    510,143,488x = 715,832,448 × 715,832,448
  4. Step 4: Simplify right side
    510,143,488x = 512,416,093,609,672,704
  5. Step 5: Solve for x
    x = 512,416,093,609,672,704/510,143,488
  6. Step 6: Final answer
    x = 1,004,454,836.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.