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Finding the Third Proportional to 1,140,524 and 1,594,488

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Solution

The third proportional to 1,140,524 and 1,594,488 is: 2,229,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,524 : 1,594,488 = 1,594,488 : x
  2. Step 2: Convert to fraction form
    1,140,524/1,594,488 = 1,594,488/x
  3. Step 3: Cross multiply
    1,140,524x = 1,594,488 × 1,594,488
  4. Step 4: Simplify right side
    1,140,524x = 2,542,391,982,144
  5. Step 5: Solve for x
    x = 2,542,391,982,144/1,140,524
  6. Step 6: Final answer
    x = 2,229,143.78

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.