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Finding the Third Proportional to 1,025,609.50 and 2,248,033.50

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Solution

The third proportional to 1,025,609.50 and 2,248,033.50 is: 4,927,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,609.50 : 2,248,033.50 = 2,248,033.50 : x
  2. Step 2: Convert to fraction form
    1,025,609.50/2,248,033.50 = 2,248,033.50/x
  3. Step 3: Cross multiply
    1,025,609.50x = 2,248,033.50 × 2,248,033.50
  4. Step 4: Simplify right side
    1,025,609.50x = 5,053,654,617,122.25
  5. Step 5: Solve for x
    x = 5,053,654,617,122.25/1,025,609.50
  6. Step 6: Final answer
    x = 4,927,464.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.