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Finding the Third Proportional to 2,129,624 and 4,618,568

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Solution

The third proportional to 2,129,624 and 4,618,568 is: 10,016,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,624 : 4,618,568 = 4,618,568 : x
  2. Step 2: Convert to fraction form
    2,129,624/4,618,568 = 4,618,568/x
  3. Step 3: Cross multiply
    2,129,624x = 4,618,568 × 4,618,568
  4. Step 4: Simplify right side
    2,129,624x = 21,331,170,370,624
  5. Step 5: Solve for x
    x = 21,331,170,370,624/2,129,624
  6. Step 6: Final answer
    x = 10,016,402.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.