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Finding the Third Proportional to 857,113 and 1,843,218

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Solution

The third proportional to 857,113 and 1,843,218 is: 3,963,832.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,113 : 1,843,218 = 1,843,218 : x
  2. Step 2: Convert to fraction form
    857,113/1,843,218 = 1,843,218/x
  3. Step 3: Cross multiply
    857,113x = 1,843,218 × 1,843,218
  4. Step 4: Simplify right side
    857,113x = 3,397,452,595,524
  5. Step 5: Solve for x
    x = 3,397,452,595,524/857,113
  6. Step 6: Final answer
    x = 3,963,832.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.