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Finding the Third Proportional to 780,037.50 and 1,198,442

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Solution

The third proportional to 780,037.50 and 1,198,442 is: 1,841,274.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,037.50 : 1,198,442 = 1,198,442 : x
  2. Step 2: Convert to fraction form
    780,037.50/1,198,442 = 1,198,442/x
  3. Step 3: Cross multiply
    780,037.50x = 1,198,442 × 1,198,442
  4. Step 4: Simplify right side
    780,037.50x = 1,436,263,227,364
  5. Step 5: Solve for x
    x = 1,436,263,227,364/780,037.50
  6. Step 6: Final answer
    x = 1,841,274.59

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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.