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Finding the Third Proportional to 2,658,478 and 3,986,742

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Solution

The third proportional to 2,658,478 and 3,986,742 is: 5,978,650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658,478 : 3,986,742 = 3,986,742 : x
  2. Step 2: Convert to fraction form
    2,658,478/3,986,742 = 3,986,742/x
  3. Step 3: Cross multiply
    2,658,478x = 3,986,742 × 3,986,742
  4. Step 4: Simplify right side
    2,658,478x = 15,894,111,774,564
  5. Step 5: Solve for x
    x = 15,894,111,774,564/2,658,478
  6. Step 6: Final answer
    x = 5,978,650.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.