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Finding the Third Proportional to 431,840 and 948,704

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Solution

The third proportional to 431,840 and 948,704 is: 2,084,196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,840 : 948,704 = 948,704 : x
  2. Step 2: Convert to fraction form
    431,840/948,704 = 948,704/x
  3. Step 3: Cross multiply
    431,840x = 948,704 × 948,704
  4. Step 4: Simplify right side
    431,840x = 900,039,279,616
  5. Step 5: Solve for x
    x = 900,039,279,616/431,840
  6. Step 6: Final answer
    x = 2,084,196.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.