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Finding the Third Proportional to 1,502,165.25 and 3,340,176.75

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Solution

The third proportional to 1,502,165.25 and 3,340,176.75 is: 7,427,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502,165.25 : 3,340,176.75 = 3,340,176.75 : x
  2. Step 2: Convert to fraction form
    1,502,165.25/3,340,176.75 = 3,340,176.75/x
  3. Step 3: Cross multiply
    1,502,165.25x = 3,340,176.75 × 3,340,176.75
  4. Step 4: Simplify right side
    1,502,165.25x = 11,156,780,721,240.56
  5. Step 5: Solve for x
    x = 11,156,780,721,240.56/1,502,165.25
  6. Step 6: Final answer
    x = 7,427,132.75

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.