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Finding the Third Proportional to 1,124,448.75 and 1,788,348.38

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Solution

The third proportional to 1,124,448.75 and 1,788,348.38 is: 2,844,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124,448.75 : 1,788,348.38 = 1,788,348.38 : x
  2. Step 2: Convert to fraction form
    1,124,448.75/1,788,348.38 = 1,788,348.38/x
  3. Step 3: Cross multiply
    1,124,448.75x = 1,788,348.38 × 1,788,348.38
  4. Step 4: Simplify right side
    1,124,448.75x = 3,198,189,910,365.14
  5. Step 5: Solve for x
    x = 3,198,189,910,365.14/1,124,448.75
  6. Step 6: Final answer
    x = 2,844,229.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.