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Finding the Third Proportional to 2,342,080 and 3,493,689

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Solution

The third proportional to 2,342,080 and 3,493,689 is: 5,211,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342,080 : 3,493,689 = 3,493,689 : x
  2. Step 2: Convert to fraction form
    2,342,080/3,493,689 = 3,493,689/x
  3. Step 3: Cross multiply
    2,342,080x = 3,493,689 × 3,493,689
  4. Step 4: Simplify right side
    2,342,080x = 12,205,862,828,721
  5. Step 5: Solve for x
    x = 12,205,862,828,721/2,342,080
  6. Step 6: Final answer
    x = 5,211,548.21

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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.