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Finding the Third Proportional to 1,050,276.38 and 1,542,002.06

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Solution

The third proportional to 1,050,276.38 and 1,542,002.06 is: 2,263,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050,276.38 : 1,542,002.06 = 1,542,002.06 : x
  2. Step 2: Convert to fraction form
    1,050,276.38/1,542,002.06 = 1,542,002.06/x
  3. Step 3: Cross multiply
    1,050,276.38x = 1,542,002.06 × 1,542,002.06
  4. Step 4: Simplify right side
    1,050,276.38x = 2,377,770,360,754.25
  5. Step 5: Solve for x
    x = 2,377,770,360,754.25/1,050,276.38
  6. Step 6: Final answer
    x = 2,263,947.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.