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Finding the Third Proportional to 2,569,978 and 5,714,406

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Solution

The third proportional to 2,569,978 and 5,714,406 is: 12,706,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,978 : 5,714,406 = 5,714,406 : x
  2. Step 2: Convert to fraction form
    2,569,978/5,714,406 = 5,714,406/x
  3. Step 3: Cross multiply
    2,569,978x = 5,714,406 × 5,714,406
  4. Step 4: Simplify right side
    2,569,978x = 32,654,435,932,836
  5. Step 5: Solve for x
    x = 32,654,435,932,836/2,569,978
  6. Step 6: Final answer
    x = 12,706,114.97

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.