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Finding the Third Proportional to 431,654 and 948,964

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Solution

The third proportional to 431,654 and 948,964 is: 2,086,237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,654 : 948,964 = 948,964 : x
  2. Step 2: Convert to fraction form
    431,654/948,964 = 948,964/x
  3. Step 3: Cross multiply
    431,654x = 948,964 × 948,964
  4. Step 4: Simplify right side
    431,654x = 900,532,673,296
  5. Step 5: Solve for x
    x = 900,532,673,296/431,654
  6. Step 6: Final answer
    x = 2,086,237.29

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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.