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Finding the Third Proportional to 534,386 and 852,123

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Solution

The third proportional to 534,386 and 852,123 is: 1,358,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,386 : 852,123 = 852,123 : x
  2. Step 2: Convert to fraction form
    534,386/852,123 = 852,123/x
  3. Step 3: Cross multiply
    534,386x = 852,123 × 852,123
  4. Step 4: Simplify right side
    534,386x = 726,113,607,129
  5. Step 5: Solve for x
    x = 726,113,607,129/534,386
  6. Step 6: Final answer
    x = 1,358,781.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.