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Finding the Third Proportional to 1,524,305.25 and 2,363,037.75

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Solution

The third proportional to 1,524,305.25 and 2,363,037.75 is: 3,663,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,305.25 : 2,363,037.75 = 2,363,037.75 : x
  2. Step 2: Convert to fraction form
    1,524,305.25/2,363,037.75 = 2,363,037.75/x
  3. Step 3: Cross multiply
    1,524,305.25x = 2,363,037.75 × 2,363,037.75
  4. Step 4: Simplify right side
    1,524,305.25x = 5,583,947,407,925.06
  5. Step 5: Solve for x
    x = 5,583,947,407,925.06/1,524,305.25
  6. Step 6: Final answer
    x = 3,663,273.75

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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.