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Finding the Third Proportional to 814,034.81 and 1,196,661.09

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Solution

The third proportional to 814,034.81 and 1,196,661.09 is: 1,759,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,034.81 : 1,196,661.09 = 1,196,661.09 : x
  2. Step 2: Convert to fraction form
    814,034.81/1,196,661.09 = 1,196,661.09/x
  3. Step 3: Cross multiply
    814,034.81x = 1,196,661.09 × 1,196,661.09
  4. Step 4: Simplify right side
    814,034.81x = 1,431,997,773,294.95
  5. Step 5: Solve for x
    x = 1,431,997,773,294.95/814,034.81
  6. Step 6: Final answer
    x = 1,759,135.79

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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.