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Finding the Third Proportional to 943,840 and 2,053,568

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Solution

The third proportional to 943,840 and 2,053,568 is: 4,468,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,840 : 2,053,568 = 2,053,568 : x
  2. Step 2: Convert to fraction form
    943,840/2,053,568 = 2,053,568/x
  3. Step 3: Cross multiply
    943,840x = 2,053,568 × 2,053,568
  4. Step 4: Simplify right side
    943,840x = 4,217,141,530,624
  5. Step 5: Solve for x
    x = 4,217,141,530,624/943,840
  6. Step 6: Final answer
    x = 4,468,068.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.