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Finding the Third Proportional to 514,920 and 1,121,378

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Solution

The third proportional to 514,920 and 1,121,378 is: 2,442,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,920 : 1,121,378 = 1,121,378 : x
  2. Step 2: Convert to fraction form
    514,920/1,121,378 = 1,121,378/x
  3. Step 3: Cross multiply
    514,920x = 1,121,378 × 1,121,378
  4. Step 4: Simplify right side
    514,920x = 1,257,488,618,884
  5. Step 5: Solve for x
    x = 1,257,488,618,884/514,920
  6. Step 6: Final answer
    x = 2,442,104.83

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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.