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Finding the Third Proportional to 361,622,349 and 784,891,935

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Solution

The third proportional to 361,622,349 and 784,891,935 is: 1,703,587,599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,622,349 : 784,891,935 = 784,891,935 : x
  2. Step 2: Convert to fraction form
    361,622,349/784,891,935 = 784,891,935/x
  3. Step 3: Cross multiply
    361,622,349x = 784,891,935 × 784,891,935
  4. Step 4: Simplify right side
    361,622,349x = 616,055,349,628,044,288
  5. Step 5: Solve for x
    x = 616,055,349,628,044,288/361,622,349
  6. Step 6: Final answer
    x = 1,703,587,599.97

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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.