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Finding the Third Proportional to 1,276,123.50 and 2,610,387

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Solution

The third proportional to 1,276,123.50 and 2,610,387 is: 5,339,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276,123.50 : 2,610,387 = 2,610,387 : x
  2. Step 2: Convert to fraction form
    1,276,123.50/2,610,387 = 2,610,387/x
  3. Step 3: Cross multiply
    1,276,123.50x = 2,610,387 × 2,610,387
  4. Step 4: Simplify right side
    1,276,123.50x = 6,814,120,289,769
  5. Step 5: Solve for x
    x = 6,814,120,289,769/1,276,123.50
  6. Step 6: Final answer
    x = 5,339,702.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.