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Finding the Third Proportional to 1,041,741 and 2,211,381

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Solution

The third proportional to 1,041,741 and 2,211,381 is: 4,694,262.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041,741 : 2,211,381 = 2,211,381 : x
  2. Step 2: Convert to fraction form
    1,041,741/2,211,381 = 2,211,381/x
  3. Step 3: Cross multiply
    1,041,741x = 2,211,381 × 2,211,381
  4. Step 4: Simplify right side
    1,041,741x = 4,890,205,927,161
  5. Step 5: Solve for x
    x = 4,890,205,927,161/1,041,741
  6. Step 6: Final answer
    x = 4,694,262.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.