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Finding the Third Proportional to 1,098,024 and 1,640,571

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Solution

The third proportional to 1,098,024 and 1,640,571 is: 2,451,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,024 : 1,640,571 = 1,640,571 : x
  2. Step 2: Convert to fraction form
    1,098,024/1,640,571 = 1,640,571/x
  3. Step 3: Cross multiply
    1,098,024x = 1,640,571 × 1,640,571
  4. Step 4: Simplify right side
    1,098,024x = 2,691,473,206,041
  5. Step 5: Solve for x
    x = 2,691,473,206,041/1,098,024
  6. Step 6: Final answer
    x = 2,451,197.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.