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Finding the Third Proportional to 1,041,405 and 2,165,742

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Solution

The third proportional to 1,041,405 and 2,165,742 is: 4,503,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041,405 : 2,165,742 = 2,165,742 : x
  2. Step 2: Convert to fraction form
    1,041,405/2,165,742 = 2,165,742/x
  3. Step 3: Cross multiply
    1,041,405x = 2,165,742 × 2,165,742
  4. Step 4: Simplify right side
    1,041,405x = 4,690,438,410,564
  5. Step 5: Solve for x
    x = 4,690,438,410,564/1,041,405
  6. Step 6: Final answer
    x = 4,503,952.27

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.