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Finding the Third Proportional to 816,997.50 and 1,198,028

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Solution

The third proportional to 816,997.50 and 1,198,028 is: 1,756,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,997.50 : 1,198,028 = 1,198,028 : x
  2. Step 2: Convert to fraction form
    816,997.50/1,198,028 = 1,198,028/x
  3. Step 3: Cross multiply
    816,997.50x = 1,198,028 × 1,198,028
  4. Step 4: Simplify right side
    816,997.50x = 1,435,271,088,784
  5. Step 5: Solve for x
    x = 1,435,271,088,784/816,997.50
  6. Step 6: Final answer
    x = 1,756,763.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.