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Finding the Third Proportional to 534,882 and 1,165,692

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Solution

The third proportional to 534,882 and 1,165,692 is: 2,540,444.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,882 : 1,165,692 = 1,165,692 : x
  2. Step 2: Convert to fraction form
    534,882/1,165,692 = 1,165,692/x
  3. Step 3: Cross multiply
    534,882x = 1,165,692 × 1,165,692
  4. Step 4: Simplify right side
    534,882x = 1,358,837,838,864
  5. Step 5: Solve for x
    x = 1,358,837,838,864/534,882
  6. Step 6: Final answer
    x = 2,540,444.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.