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Finding the Third Proportional to 1,745,220 and 2,560,374

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Solution

The third proportional to 1,745,220 and 2,560,374 is: 3,756,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745,220 : 2,560,374 = 2,560,374 : x
  2. Step 2: Convert to fraction form
    1,745,220/2,560,374 = 2,560,374/x
  3. Step 3: Cross multiply
    1,745,220x = 2,560,374 × 2,560,374
  4. Step 4: Simplify right side
    1,745,220x = 6,555,515,019,876
  5. Step 5: Solve for x
    x = 6,555,515,019,876/1,745,220
  6. Step 6: Final answer
    x = 3,756,268.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.