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Finding the Third Proportional to 473,814 and 966,654

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Solution

The third proportional to 473,814 and 966,654 is: 1,972,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,814 : 966,654 = 966,654 : x
  2. Step 2: Convert to fraction form
    473,814/966,654 = 966,654/x
  3. Step 3: Cross multiply
    473,814x = 966,654 × 966,654
  4. Step 4: Simplify right side
    473,814x = 934,419,955,716
  5. Step 5: Solve for x
    x = 934,419,955,716/473,814
  6. Step 6: Final answer
    x = 1,972,123.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.