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Finding the Third Proportional to 1,345,232.25 and 2,042,760.38

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Solution

The third proportional to 1,345,232.25 and 2,042,760.38 is: 3,101,969.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345,232.25 : 2,042,760.38 = 2,042,760.38 : x
  2. Step 2: Convert to fraction form
    1,345,232.25/2,042,760.38 = 2,042,760.38/x
  3. Step 3: Cross multiply
    1,345,232.25x = 2,042,760.38 × 2,042,760.38
  4. Step 4: Simplify right side
    1,345,232.25x = 4,172,869,949,670.14
  5. Step 5: Solve for x
    x = 4,172,869,949,670.14/1,345,232.25
  6. Step 6: Final answer
    x = 3,101,969.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.