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Finding the Third Proportional to 810,228 and 1,769,949

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Solution

The third proportional to 810,228 and 1,769,949 is: 3,866,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,228 : 1,769,949 = 1,769,949 : x
  2. Step 2: Convert to fraction form
    810,228/1,769,949 = 1,769,949/x
  3. Step 3: Cross multiply
    810,228x = 1,769,949 × 1,769,949
  4. Step 4: Simplify right side
    810,228x = 3,132,719,462,601
  5. Step 5: Solve for x
    x = 3,132,719,462,601/810,228
  6. Step 6: Final answer
    x = 3,866,466.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.