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Finding the Third Proportional to 794,585 and 1,724,625

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Solution

The third proportional to 794,585 and 1,724,625 is: 3,743,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,585 : 1,724,625 = 1,724,625 : x
  2. Step 2: Convert to fraction form
    794,585/1,724,625 = 1,724,625/x
  3. Step 3: Cross multiply
    794,585x = 1,724,625 × 1,724,625
  4. Step 4: Simplify right side
    794,585x = 2,974,331,390,625
  5. Step 5: Solve for x
    x = 2,974,331,390,625/794,585
  6. Step 6: Final answer
    x = 3,743,251.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.