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Finding the Third Proportional to 1,083,678 and 1,687,563

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Solution

The third proportional to 1,083,678 and 1,687,563 is: 2,627,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,678 : 1,687,563 = 1,687,563 : x
  2. Step 2: Convert to fraction form
    1,083,678/1,687,563 = 1,687,563/x
  3. Step 3: Cross multiply
    1,083,678x = 1,687,563 × 1,687,563
  4. Step 4: Simplify right side
    1,083,678x = 2,847,868,878,969
  5. Step 5: Solve for x
    x = 2,847,868,878,969/1,083,678
  6. Step 6: Final answer
    x = 2,627,965.94

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.