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Finding the Third Proportional to 1,797,854 and 3,862,516

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Solution

The third proportional to 1,797,854 and 3,862,516 is: 8,298,243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797,854 : 3,862,516 = 3,862,516 : x
  2. Step 2: Convert to fraction form
    1,797,854/3,862,516 = 3,862,516/x
  3. Step 3: Cross multiply
    1,797,854x = 3,862,516 × 3,862,516
  4. Step 4: Simplify right side
    1,797,854x = 14,919,029,850,256
  5. Step 5: Solve for x
    x = 14,919,029,850,256/1,797,854
  6. Step 6: Final answer
    x = 8,298,243.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.