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Finding the Third Proportional to 2,747,466 and 4,041,738

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Solution

The third proportional to 2,747,466 and 4,041,738 is: 5,945,713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747,466 : 4,041,738 = 4,041,738 : x
  2. Step 2: Convert to fraction form
    2,747,466/4,041,738 = 4,041,738/x
  3. Step 3: Cross multiply
    2,747,466x = 4,041,738 × 4,041,738
  4. Step 4: Simplify right side
    2,747,466x = 16,335,646,060,644
  5. Step 5: Solve for x
    x = 16,335,646,060,644/2,747,466
  6. Step 6: Final answer
    x = 5,945,713.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.