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Finding the Third Proportional to 517,658 and 1,107,282

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Solution

The third proportional to 517,658 and 1,107,282 is: 2,368,500.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,658 : 1,107,282 = 1,107,282 : x
  2. Step 2: Convert to fraction form
    517,658/1,107,282 = 1,107,282/x
  3. Step 3: Cross multiply
    517,658x = 1,107,282 × 1,107,282
  4. Step 4: Simplify right side
    517,658x = 1,226,073,427,524
  5. Step 5: Solve for x
    x = 1,226,073,427,524/517,658
  6. Step 6: Final answer
    x = 2,368,500.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.