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Finding the Third Proportional to 543,838 and 1,017,448

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Solution

The third proportional to 543,838 and 1,017,448 is: 1,903,508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,838 : 1,017,448 = 1,017,448 : x
  2. Step 2: Convert to fraction form
    543,838/1,017,448 = 1,017,448/x
  3. Step 3: Cross multiply
    543,838x = 1,017,448 × 1,017,448
  4. Step 4: Simplify right side
    543,838x = 1,035,200,432,704
  5. Step 5: Solve for x
    x = 1,035,200,432,704/543,838
  6. Step 6: Final answer
    x = 1,903,508.83

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.