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Finding the Third Proportional to 1,188,292 and 2,474,496

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Solution

The third proportional to 1,188,292 and 2,474,496 is: 5,152,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,292 : 2,474,496 = 2,474,496 : x
  2. Step 2: Convert to fraction form
    1,188,292/2,474,496 = 2,474,496/x
  3. Step 3: Cross multiply
    1,188,292x = 2,474,496 × 2,474,496
  4. Step 4: Simplify right side
    1,188,292x = 6,123,130,454,016
  5. Step 5: Solve for x
    x = 6,123,130,454,016/1,188,292
  6. Step 6: Final answer
    x = 5,152,883.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.