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Finding the Third Proportional to 1,581,866 and 3,412,564

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Solution

The third proportional to 1,581,866 and 3,412,564 is: 7,361,933.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,866 : 3,412,564 = 3,412,564 : x
  2. Step 2: Convert to fraction form
    1,581,866/3,412,564 = 3,412,564/x
  3. Step 3: Cross multiply
    1,581,866x = 3,412,564 × 3,412,564
  4. Step 4: Simplify right side
    1,581,866x = 11,645,593,054,096
  5. Step 5: Solve for x
    x = 11,645,593,054,096/1,581,866
  6. Step 6: Final answer
    x = 7,361,933.98

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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.