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Finding the Third Proportional to 361,622,317 and 784,891,871

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Solution

The third proportional to 361,622,317 and 784,891,871 is: 1,703,587,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,622,317 : 784,891,871 = 784,891,871 : x
  2. Step 2: Convert to fraction form
    361,622,317/784,891,871 = 784,891,871/x
  3. Step 3: Cross multiply
    361,622,317x = 784,891,871 × 784,891,871
  4. Step 4: Simplify right side
    361,622,317x = 616,055,249,161,880,704
  5. Step 5: Solve for x
    x = 616,055,249,161,880,704/361,622,317
  6. Step 6: Final answer
    x = 1,703,587,472.90

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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.