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Finding the Third Proportional to 690,147 and 1,053,901

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Solution

The third proportional to 690,147 and 1,053,901 is: 1,609,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,147 : 1,053,901 = 1,053,901 : x
  2. Step 2: Convert to fraction form
    690,147/1,053,901 = 1,053,901/x
  3. Step 3: Cross multiply
    690,147x = 1,053,901 × 1,053,901
  4. Step 4: Simplify right side
    690,147x = 1,110,707,317,801
  5. Step 5: Solve for x
    x = 1,110,707,317,801/690,147
  6. Step 6: Final answer
    x = 1,609,377.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.