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Finding the Third Proportional to 429,831 and 938,394

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Solution

The third proportional to 429,831 and 938,394 is: 2,048,673.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,831 : 938,394 = 938,394 : x
  2. Step 2: Convert to fraction form
    429,831/938,394 = 938,394/x
  3. Step 3: Cross multiply
    429,831x = 938,394 × 938,394
  4. Step 4: Simplify right side
    429,831x = 880,583,299,236
  5. Step 5: Solve for x
    x = 880,583,299,236/429,831
  6. Step 6: Final answer
    x = 2,048,673.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.