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Finding the Third Proportional to 2,605,478 and 5,741,038

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Solution

The third proportional to 2,605,478 and 5,741,038 is: 12,650,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605,478 : 5,741,038 = 5,741,038 : x
  2. Step 2: Convert to fraction form
    2,605,478/5,741,038 = 5,741,038/x
  3. Step 3: Cross multiply
    2,605,478x = 5,741,038 × 5,741,038
  4. Step 4: Simplify right side
    2,605,478x = 32,959,517,317,444
  5. Step 5: Solve for x
    x = 32,959,517,317,444/2,605,478
  6. Step 6: Final answer
    x = 12,650,084.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.