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Finding the Third Proportional to 2,342,074 and 3,493,681

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Solution

The third proportional to 2,342,074 and 3,493,681 is: 5,211,537.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342,074 : 3,493,681 = 3,493,681 : x
  2. Step 2: Convert to fraction form
    2,342,074/3,493,681 = 3,493,681/x
  3. Step 3: Cross multiply
    2,342,074x = 3,493,681 × 3,493,681
  4. Step 4: Simplify right side
    2,342,074x = 12,205,806,929,761
  5. Step 5: Solve for x
    x = 12,205,806,929,761/2,342,074
  6. Step 6: Final answer
    x = 5,211,537.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.