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Finding the Third Proportional to 918,098 and 1,377,149

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Solution

The third proportional to 918,098 and 1,377,149 is: 2,065,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,098 : 1,377,149 = 1,377,149 : x
  2. Step 2: Convert to fraction form
    918,098/1,377,149 = 1,377,149/x
  3. Step 3: Cross multiply
    918,098x = 1,377,149 × 1,377,149
  4. Step 4: Simplify right side
    918,098x = 1,896,539,368,201
  5. Step 5: Solve for x
    x = 1,896,539,368,201/918,098
  6. Step 6: Final answer
    x = 2,065,726.50

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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.