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Finding the Third Proportional to 1,745,890 and 2,625,327

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Solution

The third proportional to 1,745,890 and 2,625,327 is: 3,947,752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,890 : 2,625,327 = 2,625,327 : x
  2. Step 2: Convert to fraction form
    1,745,890/2,625,327 = 2,625,327/x
  3. Step 3: Cross multiply
    1,745,890x = 2,625,327 × 2,625,327
  4. Step 4: Simplify right side
    1,745,890x = 6,892,341,856,929
  5. Step 5: Solve for x
    x = 6,892,341,856,929/1,745,890
  6. Step 6: Final answer
    x = 3,947,752.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.