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Finding the Third Proportional to 819,474 and 1,285,518

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Solution

The third proportional to 819,474 and 1,285,518 is: 2,016,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,474 : 1,285,518 = 1,285,518 : x
  2. Step 2: Convert to fraction form
    819,474/1,285,518 = 1,285,518/x
  3. Step 3: Cross multiply
    819,474x = 1,285,518 × 1,285,518
  4. Step 4: Simplify right side
    819,474x = 1,652,556,528,324
  5. Step 5: Solve for x
    x = 1,652,556,528,324/819,474
  6. Step 6: Final answer
    x = 2,016,606.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.