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Finding the Third Proportional to 575,596 and 871,422

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Solution

The third proportional to 575,596 and 871,422 is: 1,319,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,596 : 871,422 = 871,422 : x
  2. Step 2: Convert to fraction form
    575,596/871,422 = 871,422/x
  3. Step 3: Cross multiply
    575,596x = 871,422 × 871,422
  4. Step 4: Simplify right side
    575,596x = 759,376,302,084
  5. Step 5: Solve for x
    x = 759,376,302,084/575,596
  6. Step 6: Final answer
    x = 1,319,286.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.