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Finding the Third Proportional to 1,434,938.25 and 3,149,781

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Solution

The third proportional to 1,434,938.25 and 3,149,781 is: 6,913,970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434,938.25 : 3,149,781 = 3,149,781 : x
  2. Step 2: Convert to fraction form
    1,434,938.25/3,149,781 = 3,149,781/x
  3. Step 3: Cross multiply
    1,434,938.25x = 3,149,781 × 3,149,781
  4. Step 4: Simplify right side
    1,434,938.25x = 9,921,120,347,961
  5. Step 5: Solve for x
    x = 9,921,120,347,961/1,434,938.25
  6. Step 6: Final answer
    x = 6,913,970.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.