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Finding the Third Proportional to 794,585.25 and 1,724,627.25

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Solution

The third proportional to 794,585.25 and 1,724,627.25 is: 3,743,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,585.25 : 1,724,627.25 = 1,724,627.25 : x
  2. Step 2: Convert to fraction form
    794,585.25/1,724,627.25 = 1,724,627.25/x
  3. Step 3: Cross multiply
    794,585.25x = 1,724,627.25 × 1,724,627.25
  4. Step 4: Simplify right side
    794,585.25x = 2,974,339,151,442.56
  5. Step 5: Solve for x
    x = 2,974,339,151,442.56/794,585.25
  6. Step 6: Final answer
    x = 3,743,259.96

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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.