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Finding the Third Proportional to 981,564 and 1,472,346

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Solution

The third proportional to 981,564 and 1,472,346 is: 2,208,519

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,564 : 1,472,346 = 1,472,346 : x
  2. Step 2: Convert to fraction form
    981,564/1,472,346 = 1,472,346/x
  3. Step 3: Cross multiply
    981,564x = 1,472,346 × 1,472,346
  4. Step 4: Simplify right side
    981,564x = 2,167,802,743,716
  5. Step 5: Solve for x
    x = 2,167,802,743,716/981,564
  6. Step 6: Final answer
    x = 2,208,519

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