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Finding the Third Proportional to 905,998.92 and 1,328,545.55

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Solution

The third proportional to 905,998.92 and 1,328,545.55 is: 1,948,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,998.92 : 1,328,545.55 = 1,328,545.55 : x
  2. Step 2: Convert to fraction form
    905,998.92/1,328,545.55 = 1,328,545.55/x
  3. Step 3: Cross multiply
    905,998.92x = 1,328,545.55 × 1,328,545.55
  4. Step 4: Simplify right side
    905,998.92x = 1,765,033,270,121.39
  5. Step 5: Solve for x
    x = 1,765,033,270,121.39/905,998.92
  6. Step 6: Final answer
    x = 1,948,162.66

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Why These Related Problems?

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