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Finding the Third Proportional to 448,711 and 948,074

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Solution

The third proportional to 448,711 and 948,074 is: 2,003,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,711 : 948,074 = 948,074 : x
  2. Step 2: Convert to fraction form
    448,711/948,074 = 948,074/x
  3. Step 3: Cross multiply
    448,711x = 948,074 × 948,074
  4. Step 4: Simplify right side
    448,711x = 898,844,309,476
  5. Step 5: Solve for x
    x = 898,844,309,476/448,711
  6. Step 6: Final answer
    x = 2,003,169.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.