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Finding the Third Proportional to 516,408 and 1,061,328

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Solution

The third proportional to 516,408 and 1,061,328 is: 2,181,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,408 : 1,061,328 = 1,061,328 : x
  2. Step 2: Convert to fraction form
    516,408/1,061,328 = 1,061,328/x
  3. Step 3: Cross multiply
    516,408x = 1,061,328 × 1,061,328
  4. Step 4: Simplify right side
    516,408x = 1,126,417,123,584
  5. Step 5: Solve for x
    x = 1,126,417,123,584/516,408
  6. Step 6: Final answer
    x = 2,181,254.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.