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Finding the Third Proportional to 1,301,856 and 2,743,680

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Solution

The third proportional to 1,301,856 and 2,743,680 is: 5,782,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,856 : 2,743,680 = 2,743,680 : x
  2. Step 2: Convert to fraction form
    1,301,856/2,743,680 = 2,743,680/x
  3. Step 3: Cross multiply
    1,301,856x = 2,743,680 × 2,743,680
  4. Step 4: Simplify right side
    1,301,856x = 7,527,779,942,400
  5. Step 5: Solve for x
    x = 7,527,779,942,400/1,301,856
  6. Step 6: Final answer
    x = 5,782,344.55

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.