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Finding the Third Proportional to 654,374 and 981,561

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Solution

The third proportional to 654,374 and 981,561 is: 1,472,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,374 : 981,561 = 981,561 : x
  2. Step 2: Convert to fraction form
    654,374/981,561 = 981,561/x
  3. Step 3: Cross multiply
    654,374x = 981,561 × 981,561
  4. Step 4: Simplify right side
    654,374x = 963,461,996,721
  5. Step 5: Solve for x
    x = 963,461,996,721/654,374
  6. Step 6: Final answer
    x = 1,472,341.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.