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Finding the Third Proportional to 951,570 and 1,475,163

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Solution

The third proportional to 951,570 and 1,475,163 is: 2,286,858.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,570 : 1,475,163 = 1,475,163 : x
  2. Step 2: Convert to fraction form
    951,570/1,475,163 = 1,475,163/x
  3. Step 3: Cross multiply
    951,570x = 1,475,163 × 1,475,163
  4. Step 4: Simplify right side
    951,570x = 2,176,105,876,569
  5. Step 5: Solve for x
    x = 2,176,105,876,569/951,570
  6. Step 6: Final answer
    x = 2,286,858.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.