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Finding the Third Proportional to 946,569.38 and 1,468,469.39

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Solution

The third proportional to 946,569.38 and 1,468,469.39 is: 2,278,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,569.38 : 1,468,469.39 = 1,468,469.39 : x
  2. Step 2: Convert to fraction form
    946,569.38/1,468,469.39 = 1,468,469.39/x
  3. Step 3: Cross multiply
    946,569.38x = 1,468,469.39 × 1,468,469.39
  4. Step 4: Simplify right side
    946,569.38x = 2,156,402,351,202.56
  5. Step 5: Solve for x
    x = 2,156,402,351,202.56/946,569.38
  6. Step 6: Final answer
    x = 2,278,123.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.