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Finding the Third Proportional to 625,340 and 1,272,761

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Solution

The third proportional to 625,340 and 1,272,761 is: 2,590,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,340 : 1,272,761 = 1,272,761 : x
  2. Step 2: Convert to fraction form
    625,340/1,272,761 = 1,272,761/x
  3. Step 3: Cross multiply
    625,340x = 1,272,761 × 1,272,761
  4. Step 4: Simplify right side
    625,340x = 1,619,920,563,121
  5. Step 5: Solve for x
    x = 1,619,920,563,121/625,340
  6. Step 6: Final answer
    x = 2,590,463.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.