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Finding the Third Proportional to 1,162,114 and 2,490,116

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Solution

The third proportional to 1,162,114 and 2,490,116 is: 5,335,687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,114 : 2,490,116 = 2,490,116 : x
  2. Step 2: Convert to fraction form
    1,162,114/2,490,116 = 2,490,116/x
  3. Step 3: Cross multiply
    1,162,114x = 2,490,116 × 2,490,116
  4. Step 4: Simplify right side
    1,162,114x = 6,200,677,693,456
  5. Step 5: Solve for x
    x = 6,200,677,693,456/1,162,114
  6. Step 6: Final answer
    x = 5,335,687.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.