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Finding the Third Proportional to 785,625 and 1,674,282

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Solution

The third proportional to 785,625 and 1,674,282 is: 3,568,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,625 : 1,674,282 = 1,674,282 : x
  2. Step 2: Convert to fraction form
    785,625/1,674,282 = 1,674,282/x
  3. Step 3: Cross multiply
    785,625x = 1,674,282 × 1,674,282
  4. Step 4: Simplify right side
    785,625x = 2,803,220,215,524
  5. Step 5: Solve for x
    x = 2,803,220,215,524/785,625
  6. Step 6: Final answer
    x = 3,568,140.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.