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Finding the Third Proportional to 670,311 and 1,581,012

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Solution

The third proportional to 670,311 and 1,581,012 is: 3,729,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,311 : 1,581,012 = 1,581,012 : x
  2. Step 2: Convert to fraction form
    670,311/1,581,012 = 1,581,012/x
  3. Step 3: Cross multiply
    670,311x = 1,581,012 × 1,581,012
  4. Step 4: Simplify right side
    670,311x = 2,499,598,944,144
  5. Step 5: Solve for x
    x = 2,499,598,944,144/670,311
  6. Step 6: Final answer
    x = 3,729,013.76

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.