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Finding the Third Proportional to 429,872 and 934,372

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Solution

The third proportional to 429,872 and 934,372 is: 2,030,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,872 : 934,372 = 934,372 : x
  2. Step 2: Convert to fraction form
    429,872/934,372 = 934,372/x
  3. Step 3: Cross multiply
    429,872x = 934,372 × 934,372
  4. Step 4: Simplify right side
    429,872x = 873,051,034,384
  5. Step 5: Solve for x
    x = 873,051,034,384/429,872
  6. Step 6: Final answer
    x = 2,030,955.81

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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.