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Finding the Third Proportional to 1,581,758 and 3,412,348

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Solution

The third proportional to 1,581,758 and 3,412,348 is: 7,361,504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,758 : 3,412,348 = 3,412,348 : x
  2. Step 2: Convert to fraction form
    1,581,758/3,412,348 = 3,412,348/x
  3. Step 3: Cross multiply
    1,581,758x = 3,412,348 × 3,412,348
  4. Step 4: Simplify right side
    1,581,758x = 11,644,118,873,104
  5. Step 5: Solve for x
    x = 11,644,118,873,104/1,581,758
  6. Step 6: Final answer
    x = 7,361,504.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.