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Finding the Third Proportional to 814,034.25 and 1,196,661.94

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Solution

The third proportional to 814,034.25 and 1,196,661.94 is: 1,759,139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,034.25 : 1,196,661.94 = 1,196,661.94 : x
  2. Step 2: Convert to fraction form
    814,034.25/1,196,661.94 = 1,196,661.94/x
  3. Step 3: Cross multiply
    814,034.25x = 1,196,661.94 × 1,196,661.94
  4. Step 4: Simplify right side
    814,034.25x = 1,431,999,792,661.25
  5. Step 5: Solve for x
    x = 1,431,999,792,661.25/814,034.25
  6. Step 6: Final answer
    x = 1,759,139.49

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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.