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Finding the Third Proportional to 2,652,914 and 5,729,416

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Solution

The third proportional to 2,652,914 and 5,729,416 is: 12,373,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652,914 : 5,729,416 = 5,729,416 : x
  2. Step 2: Convert to fraction form
    2,652,914/5,729,416 = 5,729,416/x
  3. Step 3: Cross multiply
    2,652,914x = 5,729,416 × 5,729,416
  4. Step 4: Simplify right side
    2,652,914x = 32,826,207,701,056
  5. Step 5: Solve for x
    x = 32,826,207,701,056/2,652,914
  6. Step 6: Final answer
    x = 12,373,641.85

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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.