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Finding the Third Proportional to 647,694 and 980,577

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Solution

The third proportional to 647,694 and 980,577 is: 1,484,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,694 : 980,577 = 980,577 : x
  2. Step 2: Convert to fraction form
    647,694/980,577 = 980,577/x
  3. Step 3: Cross multiply
    647,694x = 980,577 × 980,577
  4. Step 4: Simplify right side
    647,694x = 961,531,252,929
  5. Step 5: Solve for x
    x = 961,531,252,929/647,694
  6. Step 6: Final answer
    x = 1,484,545.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.