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Finding the Third Proportional to 872,831.25 and 1,354,634.75

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Solution

The third proportional to 872,831.25 and 1,354,634.75 is: 2,102,394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,831.25 : 1,354,634.75 = 1,354,634.75 : x
  2. Step 2: Convert to fraction form
    872,831.25/1,354,634.75 = 1,354,634.75/x
  3. Step 3: Cross multiply
    872,831.25x = 1,354,634.75 × 1,354,634.75
  4. Step 4: Simplify right side
    872,831.25x = 1,835,035,305,907.56
  5. Step 5: Solve for x
    x = 1,835,035,305,907.56/872,831.25
  6. Step 6: Final answer
    x = 2,102,394.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.