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Finding the Third Proportional to 938,823 and 2,027,294

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Solution

The third proportional to 938,823 and 2,027,294 is: 4,377,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,823 : 2,027,294 = 2,027,294 : x
  2. Step 2: Convert to fraction form
    938,823/2,027,294 = 2,027,294/x
  3. Step 3: Cross multiply
    938,823x = 2,027,294 × 2,027,294
  4. Step 4: Simplify right side
    938,823x = 4,109,920,962,436
  5. Step 5: Solve for x
    x = 4,109,920,962,436/938,823
  6. Step 6: Final answer
    x = 4,377,737.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.