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Finding the Third Proportional to 437,730 and 940,846

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Solution

The third proportional to 437,730 and 940,846 is: 2,022,231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,730 : 940,846 = 940,846 : x
  2. Step 2: Convert to fraction form
    437,730/940,846 = 940,846/x
  3. Step 3: Cross multiply
    437,730x = 940,846 × 940,846
  4. Step 4: Simplify right side
    437,730x = 885,191,195,716
  5. Step 5: Solve for x
    x = 885,191,195,716/437,730
  6. Step 6: Final answer
    x = 2,022,231.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.