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Finding the Third Proportional to 618,287 and 1,342,323

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Solution

The third proportional to 618,287 and 1,342,323 is: 2,914,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,287 : 1,342,323 = 1,342,323 : x
  2. Step 2: Convert to fraction form
    618,287/1,342,323 = 1,342,323/x
  3. Step 3: Cross multiply
    618,287x = 1,342,323 × 1,342,323
  4. Step 4: Simplify right side
    618,287x = 1,801,831,036,329
  5. Step 5: Solve for x
    x = 1,801,831,036,329/618,287
  6. Step 6: Final answer
    x = 2,914,230.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.