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Finding the Third Proportional to 957,474 and 1,417,725

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Solution

The third proportional to 957,474 and 1,417,725 is: 2,099,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,474 : 1,417,725 = 1,417,725 : x
  2. Step 2: Convert to fraction form
    957,474/1,417,725 = 1,417,725/x
  3. Step 3: Cross multiply
    957,474x = 1,417,725 × 1,417,725
  4. Step 4: Simplify right side
    957,474x = 2,009,944,175,625
  5. Step 5: Solve for x
    x = 2,009,944,175,625/957,474
  6. Step 6: Final answer
    x = 2,099,215.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.