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Finding the Third Proportional to 814,033 and 1,196,661

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Solution

The third proportional to 814,033 and 1,196,661 is: 1,759,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,033 : 1,196,661 = 1,196,661 : x
  2. Step 2: Convert to fraction form
    814,033/1,196,661 = 1,196,661/x
  3. Step 3: Cross multiply
    814,033x = 1,196,661 × 1,196,661
  4. Step 4: Simplify right side
    814,033x = 1,431,997,548,921
  5. Step 5: Solve for x
    x = 1,431,997,548,921/814,033
  6. Step 6: Final answer
    x = 1,759,139.43

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