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Finding the Third Proportional to 429,958 and 933,542

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Solution

The third proportional to 429,958 and 933,542 is: 2,026,943.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,958 : 933,542 = 933,542 : x
  2. Step 2: Convert to fraction form
    429,958/933,542 = 933,542/x
  3. Step 3: Cross multiply
    429,958x = 933,542 × 933,542
  4. Step 4: Simplify right side
    429,958x = 871,500,665,764
  5. Step 5: Solve for x
    x = 871,500,665,764/429,958
  6. Step 6: Final answer
    x = 2,026,943.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.