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Finding the Third Proportional to 647,924 and 959,134

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Solution

The third proportional to 647,924 and 959,134 is: 1,419,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,924 : 959,134 = 959,134 : x
  2. Step 2: Convert to fraction form
    647,924/959,134 = 959,134/x
  3. Step 3: Cross multiply
    647,924x = 959,134 × 959,134
  4. Step 4: Simplify right side
    647,924x = 919,938,029,956
  5. Step 5: Solve for x
    x = 919,938,029,956/647,924
  6. Step 6: Final answer
    x = 1,419,823.98

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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.