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Finding the Third Proportional to 814,046 and 1,196,679

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Solution

The third proportional to 814,046 and 1,196,679 is: 1,759,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,046 : 1,196,679 = 1,196,679 : x
  2. Step 2: Convert to fraction form
    814,046/1,196,679 = 1,196,679/x
  3. Step 3: Cross multiply
    814,046x = 1,196,679 × 1,196,679
  4. Step 4: Simplify right side
    814,046x = 1,432,040,629,041
  5. Step 5: Solve for x
    x = 1,432,040,629,041/814,046
  6. Step 6: Final answer
    x = 1,759,164.26

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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.