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Finding the Third Proportional to 674,750 and 1,016,571

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Solution

The third proportional to 674,750 and 1,016,571 is: 1,531,554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,750 : 1,016,571 = 1,016,571 : x
  2. Step 2: Convert to fraction form
    674,750/1,016,571 = 1,016,571/x
  3. Step 3: Cross multiply
    674,750x = 1,016,571 × 1,016,571
  4. Step 4: Simplify right side
    674,750x = 1,033,416,598,041
  5. Step 5: Solve for x
    x = 1,033,416,598,041/674,750
  6. Step 6: Final answer
    x = 1,531,554.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.