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Finding the Third Proportional to 874,928 and 1,251,142

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Solution

The third proportional to 874,928 and 1,251,142 is: 1,789,125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,928 : 1,251,142 = 1,251,142 : x
  2. Step 2: Convert to fraction form
    874,928/1,251,142 = 1,251,142/x
  3. Step 3: Cross multiply
    874,928x = 1,251,142 × 1,251,142
  4. Step 4: Simplify right side
    874,928x = 1,565,356,304,164
  5. Step 5: Solve for x
    x = 1,565,356,304,164/874,928
  6. Step 6: Final answer
    x = 1,789,125.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.