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Finding the Third Proportional to 361,622,342 and 784,891,921

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Solution

The third proportional to 361,622,342 and 784,891,921 is: 1,703,587,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,622,342 : 784,891,921 = 784,891,921 : x
  2. Step 2: Convert to fraction form
    361,622,342/784,891,921 = 784,891,921/x
  3. Step 3: Cross multiply
    361,622,342x = 784,891,921 × 784,891,921
  4. Step 4: Simplify right side
    361,622,342x = 616,055,327,651,070,208
  5. Step 5: Solve for x
    x = 616,055,327,651,070,208/361,622,342
  6. Step 6: Final answer
    x = 1,703,587,572.17

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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.