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Finding the Third Proportional to 722,906.25 and 1,570,434.75

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Solution

The third proportional to 722,906.25 and 1,570,434.75 is: 3,411,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,906.25 : 1,570,434.75 = 1,570,434.75 : x
  2. Step 2: Convert to fraction form
    722,906.25/1,570,434.75 = 1,570,434.75/x
  3. Step 3: Cross multiply
    722,906.25x = 1,570,434.75 × 1,570,434.75
  4. Step 4: Simplify right side
    722,906.25x = 2,466,265,304,007.56
  5. Step 5: Solve for x
    x = 2,466,265,304,007.56/722,906.25
  6. Step 6: Final answer
    x = 3,411,597.71

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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.