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Finding the Third Proportional to 779,976 and 1,687,878

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Solution

The third proportional to 779,976 and 1,687,878 is: 3,652,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,976 : 1,687,878 = 1,687,878 : x
  2. Step 2: Convert to fraction form
    779,976/1,687,878 = 1,687,878/x
  3. Step 3: Cross multiply
    779,976x = 1,687,878 × 1,687,878
  4. Step 4: Simplify right side
    779,976x = 2,848,932,142,884
  5. Step 5: Solve for x
    x = 2,848,932,142,884/779,976
  6. Step 6: Final answer
    x = 3,652,589.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.