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Finding the Third Proportional to 1,198,316.53 and 1,685,512.13

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Solution

The third proportional to 1,198,316.53 and 1,685,512.13 is: 2,370,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,316.53 : 1,685,512.13 = 1,685,512.13 : x
  2. Step 2: Convert to fraction form
    1,198,316.53/1,685,512.13 = 1,685,512.13/x
  3. Step 3: Cross multiply
    1,198,316.53x = 1,685,512.13 × 1,685,512.13
  4. Step 4: Simplify right side
    1,198,316.53x = 2,840,951,123,522.02
  5. Step 5: Solve for x
    x = 2,840,951,123,522.02/1,198,316.53
  6. Step 6: Final answer
    x = 2,370,785.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.