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Finding the Third Proportional to 874,978 and 1,251,207

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Solution

The third proportional to 874,978 and 1,251,207 is: 1,789,209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,978 : 1,251,207 = 1,251,207 : x
  2. Step 2: Convert to fraction form
    874,978/1,251,207 = 1,251,207/x
  3. Step 3: Cross multiply
    874,978x = 1,251,207 × 1,251,207
  4. Step 4: Simplify right side
    874,978x = 1,565,518,956,849
  5. Step 5: Solve for x
    x = 1,565,518,956,849/874,978
  6. Step 6: Final answer
    x = 1,789,209.51

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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.