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Finding the Third Proportional to 619,422 and 937,704

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Solution

The third proportional to 619,422 and 937,704 is: 1,419,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,422 : 937,704 = 937,704 : x
  2. Step 2: Convert to fraction form
    619,422/937,704 = 937,704/x
  3. Step 3: Cross multiply
    619,422x = 937,704 × 937,704
  4. Step 4: Simplify right side
    619,422x = 879,288,791,616
  5. Step 5: Solve for x
    x = 879,288,791,616/619,422
  6. Step 6: Final answer
    x = 1,419,531.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.