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Finding the Third Proportional to 1,034,102.25 and 1,544,896.13

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Solution

The third proportional to 1,034,102.25 and 1,544,896.13 is: 2,307,996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,102.25 : 1,544,896.13 = 1,544,896.13 : x
  2. Step 2: Convert to fraction form
    1,034,102.25/1,544,896.13 = 1,544,896.13/x
  3. Step 3: Cross multiply
    1,034,102.25x = 1,544,896.13 × 1,544,896.13
  4. Step 4: Simplify right side
    1,034,102.25x = 2,386,704,037,040.02
  5. Step 5: Solve for x
    x = 2,386,704,037,040.02/1,034,102.25
  6. Step 6: Final answer
    x = 2,307,996.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.