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Finding the Third Proportional to 814,174.50 and 1,736,559

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Solution

The third proportional to 814,174.50 and 1,736,559 is: 3,703,919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,174.50 : 1,736,559 = 1,736,559 : x
  2. Step 2: Convert to fraction form
    814,174.50/1,736,559 = 1,736,559/x
  3. Step 3: Cross multiply
    814,174.50x = 1,736,559 × 1,736,559
  4. Step 4: Simplify right side
    814,174.50x = 3,015,637,160,481
  5. Step 5: Solve for x
    x = 3,015,637,160,481/814,174.50
  6. Step 6: Final answer
    x = 3,703,919.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.