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Finding the Third Proportional to 766,878 and 1,613,061

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Solution

The third proportional to 766,878 and 1,613,061 is: 3,392,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,878 : 1,613,061 = 1,613,061 : x
  2. Step 2: Convert to fraction form
    766,878/1,613,061 = 1,613,061/x
  3. Step 3: Cross multiply
    766,878x = 1,613,061 × 1,613,061
  4. Step 4: Simplify right side
    766,878x = 2,601,965,789,721
  5. Step 5: Solve for x
    x = 2,601,965,789,721/766,878
  6. Step 6: Final answer
    x = 3,392,933.15

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