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Finding the Third Proportional to 634,408 and 861,184

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Solution

The third proportional to 634,408 and 861,184 is: 1,169,023.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,408 : 861,184 = 861,184 : x
  2. Step 2: Convert to fraction form
    634,408/861,184 = 861,184/x
  3. Step 3: Cross multiply
    634,408x = 861,184 × 861,184
  4. Step 4: Simplify right side
    634,408x = 741,637,881,856
  5. Step 5: Solve for x
    x = 741,637,881,856/634,408
  6. Step 6: Final answer
    x = 1,169,023.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.