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Finding the Third Proportional to 874,824.75 and 1,251,001.50

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Solution

The third proportional to 874,824.75 and 1,251,001.50 is: 1,788,935.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,824.75 : 1,251,001.50 = 1,251,001.50 : x
  2. Step 2: Convert to fraction form
    874,824.75/1,251,001.50 = 1,251,001.50/x
  3. Step 3: Cross multiply
    874,824.75x = 1,251,001.50 × 1,251,001.50
  4. Step 4: Simplify right side
    874,824.75x = 1,565,004,753,002.25
  5. Step 5: Solve for x
    x = 1,565,004,753,002.25/874,824.75
  6. Step 6: Final answer
    x = 1,788,935.16

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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.