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Finding the Third Proportional to 829,843.50 and 1,281,612

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Solution

The third proportional to 829,843.50 and 1,281,612 is: 1,979,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,843.50 : 1,281,612 = 1,281,612 : x
  2. Step 2: Convert to fraction form
    829,843.50/1,281,612 = 1,281,612/x
  3. Step 3: Cross multiply
    829,843.50x = 1,281,612 × 1,281,612
  4. Step 4: Simplify right side
    829,843.50x = 1,642,529,318,544
  5. Step 5: Solve for x
    x = 1,642,529,318,544/829,843.50
  6. Step 6: Final answer
    x = 1,979,324.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.