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Finding the Third Proportional to 940,167 and 1,432,294

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Solution

The third proportional to 940,167 and 1,432,294 is: 2,182,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,167 : 1,432,294 = 1,432,294 : x
  2. Step 2: Convert to fraction form
    940,167/1,432,294 = 1,432,294/x
  3. Step 3: Cross multiply
    940,167x = 1,432,294 × 1,432,294
  4. Step 4: Simplify right side
    940,167x = 2,051,466,102,436
  5. Step 5: Solve for x
    x = 2,051,466,102,436/940,167
  6. Step 6: Final answer
    x = 2,182,023.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.