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Finding the Third Proportional to 647,464 and 958,634

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Solution

The third proportional to 647,464 and 958,634 is: 1,419,351.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,464 : 958,634 = 958,634 : x
  2. Step 2: Convert to fraction form
    647,464/958,634 = 958,634/x
  3. Step 3: Cross multiply
    647,464x = 958,634 × 958,634
  4. Step 4: Simplify right side
    647,464x = 918,979,145,956
  5. Step 5: Solve for x
    x = 918,979,145,956/647,464
  6. Step 6: Final answer
    x = 1,419,351.73

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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.