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Finding the Third Proportional to 2,652,918 and 5,729,424

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Solution

The third proportional to 2,652,918 and 5,729,424 is: 12,373,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652,918 : 5,729,424 = 5,729,424 : x
  2. Step 2: Convert to fraction form
    2,652,918/5,729,424 = 5,729,424/x
  3. Step 3: Cross multiply
    2,652,918x = 5,729,424 × 5,729,424
  4. Step 4: Simplify right side
    2,652,918x = 32,826,299,371,776
  5. Step 5: Solve for x
    x = 32,826,299,371,776/2,652,918
  6. Step 6: Final answer
    x = 12,373,657.75

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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.