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Finding the Third Proportional to 1,233,856 and 1,680,918

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Solution

The third proportional to 1,233,856 and 1,680,918 is: 2,289,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,856 : 1,680,918 = 1,680,918 : x
  2. Step 2: Convert to fraction form
    1,233,856/1,680,918 = 1,680,918/x
  3. Step 3: Cross multiply
    1,233,856x = 1,680,918 × 1,680,918
  4. Step 4: Simplify right side
    1,233,856x = 2,825,485,322,724
  5. Step 5: Solve for x
    x = 2,825,485,322,724/1,233,856
  6. Step 6: Final answer
    x = 2,289,963.60

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.