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Finding the Third Proportional to 1,741,404 and 2,689,746

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Solution

The third proportional to 1,741,404 and 2,689,746 is: 4,154,540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,404 : 2,689,746 = 2,689,746 : x
  2. Step 2: Convert to fraction form
    1,741,404/2,689,746 = 2,689,746/x
  3. Step 3: Cross multiply
    1,741,404x = 2,689,746 × 2,689,746
  4. Step 4: Simplify right side
    1,741,404x = 7,234,733,544,516
  5. Step 5: Solve for x
    x = 7,234,733,544,516/1,741,404
  6. Step 6: Final answer
    x = 4,154,540.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.