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Finding the Third Proportional to 1,050,209.25 and 2,290,470.75

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Solution

The third proportional to 1,050,209.25 and 2,290,470.75 is: 4,995,439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050,209.25 : 2,290,470.75 = 2,290,470.75 : x
  2. Step 2: Convert to fraction form
    1,050,209.25/2,290,470.75 = 2,290,470.75/x
  3. Step 3: Cross multiply
    1,050,209.25x = 2,290,470.75 × 2,290,470.75
  4. Step 4: Simplify right side
    1,050,209.25x = 5,246,256,256,605.56
  5. Step 5: Solve for x
    x = 5,246,256,256,605.56/1,050,209.25
  6. Step 6: Final answer
    x = 4,995,439.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.