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Finding the Third Proportional to 2,112,494 and 4,561,742

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Solution

The third proportional to 2,112,494 and 4,561,742 is: 9,850,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112,494 : 4,561,742 = 4,561,742 : x
  2. Step 2: Convert to fraction form
    2,112,494/4,561,742 = 4,561,742/x
  3. Step 3: Cross multiply
    2,112,494x = 4,561,742 × 4,561,742
  4. Step 4: Simplify right side
    2,112,494x = 20,809,490,074,564
  5. Step 5: Solve for x
    x = 20,809,490,074,564/2,112,494
  6. Step 6: Final answer
    x = 9,850,674.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.