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Finding the Third Proportional to 647,478 and 958,654

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Solution

The third proportional to 647,478 and 958,654 is: 1,419,380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,478 : 958,654 = 958,654 : x
  2. Step 2: Convert to fraction form
    647,478/958,654 = 958,654/x
  3. Step 3: Cross multiply
    647,478x = 958,654 × 958,654
  4. Step 4: Simplify right side
    647,478x = 919,017,491,716
  5. Step 5: Solve for x
    x = 919,017,491,716/647,478
  6. Step 6: Final answer
    x = 1,419,380.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.