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Finding the Third Proportional to 681,878 and 1,434,226

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Solution

The third proportional to 681,878 and 1,434,226 is: 3,016,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,878 : 1,434,226 = 1,434,226 : x
  2. Step 2: Convert to fraction form
    681,878/1,434,226 = 1,434,226/x
  3. Step 3: Cross multiply
    681,878x = 1,434,226 × 1,434,226
  4. Step 4: Simplify right side
    681,878x = 2,057,004,219,076
  5. Step 5: Solve for x
    x = 2,057,004,219,076/681,878
  6. Step 6: Final answer
    x = 3,016,674.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.