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Finding the Third Proportional to 574,082 and 1,257,604

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Solution

The third proportional to 574,082 and 1,257,604 is: 2,754,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,082 : 1,257,604 = 1,257,604 : x
  2. Step 2: Convert to fraction form
    574,082/1,257,604 = 1,257,604/x
  3. Step 3: Cross multiply
    574,082x = 1,257,604 × 1,257,604
  4. Step 4: Simplify right side
    574,082x = 1,581,567,820,816
  5. Step 5: Solve for x
    x = 1,581,567,820,816/574,082
  6. Step 6: Final answer
    x = 2,754,951.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.