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Finding the Third Proportional to 672,841.50 and 1,469,523

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Solution

The third proportional to 672,841.50 and 1,469,523 is: 3,209,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,841.50 : 1,469,523 = 1,469,523 : x
  2. Step 2: Convert to fraction form
    672,841.50/1,469,523 = 1,469,523/x
  3. Step 3: Cross multiply
    672,841.50x = 1,469,523 × 1,469,523
  4. Step 4: Simplify right side
    672,841.50x = 2,159,497,847,529
  5. Step 5: Solve for x
    x = 2,159,497,847,529/672,841.50
  6. Step 6: Final answer
    x = 3,209,519.40

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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.