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Finding the Third Proportional to 1,098,928.50 and 2,375,670

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Solution

The third proportional to 1,098,928.50 and 2,375,670 is: 5,135,737.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,928.50 : 2,375,670 = 2,375,670 : x
  2. Step 2: Convert to fraction form
    1,098,928.50/2,375,670 = 2,375,670/x
  3. Step 3: Cross multiply
    1,098,928.50x = 2,375,670 × 2,375,670
  4. Step 4: Simplify right side
    1,098,928.50x = 5,643,807,948,900
  5. Step 5: Solve for x
    x = 5,643,807,948,900/1,098,928.50
  6. Step 6: Final answer
    x = 5,135,737.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.