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Finding the Third Proportional to 2,114,596 and 3,162,656

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Solution

The third proportional to 2,114,596 and 3,162,656 is: 4,730,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114,596 : 3,162,656 = 3,162,656 : x
  2. Step 2: Convert to fraction form
    2,114,596/3,162,656 = 3,162,656/x
  3. Step 3: Cross multiply
    2,114,596x = 3,162,656 × 3,162,656
  4. Step 4: Simplify right side
    2,114,596x = 10,002,392,974,336
  5. Step 5: Solve for x
    x = 10,002,392,974,336/2,114,596
  6. Step 6: Final answer
    x = 4,730,167.36

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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.