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Finding the Third Proportional to 981,147 and 1,439,416

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Solution

The third proportional to 981,147 and 1,439,416 is: 2,111,730.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,147 : 1,439,416 = 1,439,416 : x
  2. Step 2: Convert to fraction form
    981,147/1,439,416 = 1,439,416/x
  3. Step 3: Cross multiply
    981,147x = 1,439,416 × 1,439,416
  4. Step 4: Simplify right side
    981,147x = 2,071,918,421,056
  5. Step 5: Solve for x
    x = 2,071,918,421,056/981,147
  6. Step 6: Final answer
    x = 2,111,730.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.