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Finding the Third Proportional to 814,115 and 1,245,349

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Solution

The third proportional to 814,115 and 1,245,349 is: 1,905,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,115 : 1,245,349 = 1,245,349 : x
  2. Step 2: Convert to fraction form
    814,115/1,245,349 = 1,245,349/x
  3. Step 3: Cross multiply
    814,115x = 1,245,349 × 1,245,349
  4. Step 4: Simplify right side
    814,115x = 1,550,894,131,801
  5. Step 5: Solve for x
    x = 1,550,894,131,801/814,115
  6. Step 6: Final answer
    x = 1,905,006.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.