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Finding the Third Proportional to 1,015,314.75 and 2,189,323.69

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Solution

The third proportional to 1,015,314.75 and 2,189,323.69 is: 4,720,839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,314.75 : 2,189,323.69 = 2,189,323.69 : x
  2. Step 2: Convert to fraction form
    1,015,314.75/2,189,323.69 = 2,189,323.69/x
  3. Step 3: Cross multiply
    1,015,314.75x = 2,189,323.69 × 2,189,323.69
  4. Step 4: Simplify right side
    1,015,314.75x = 4,793,138,208,648.60
  5. Step 5: Solve for x
    x = 4,793,138,208,648.60/1,015,314.75
  6. Step 6: Final answer
    x = 4,720,839.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.