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Finding the Third Proportional to 1,576,980 and 2,412,774

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Solution

The third proportional to 1,576,980 and 2,412,774 is: 3,691,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,980 : 2,412,774 = 2,412,774 : x
  2. Step 2: Convert to fraction form
    1,576,980/2,412,774 = 2,412,774/x
  3. Step 3: Cross multiply
    1,576,980x = 2,412,774 × 2,412,774
  4. Step 4: Simplify right side
    1,576,980x = 5,821,478,375,076
  5. Step 5: Solve for x
    x = 5,821,478,375,076/1,576,980
  6. Step 6: Final answer
    x = 3,691,535.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.