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Finding the Third Proportional to 814,033 and 1,196,659

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Solution

The third proportional to 814,033 and 1,196,659 is: 1,759,133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,033 : 1,196,659 = 1,196,659 : x
  2. Step 2: Convert to fraction form
    814,033/1,196,659 = 1,196,659/x
  3. Step 3: Cross multiply
    814,033x = 1,196,659 × 1,196,659
  4. Step 4: Simplify right side
    814,033x = 1,431,992,762,281
  5. Step 5: Solve for x
    x = 1,431,992,762,281/814,033
  6. Step 6: Final answer
    x = 1,759,133.55

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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.