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Finding the Third Proportional to 852,993 and 1,282,952

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Solution

The third proportional to 852,993 and 1,282,952 is: 1,929,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,993 : 1,282,952 = 1,282,952 : x
  2. Step 2: Convert to fraction form
    852,993/1,282,952 = 1,282,952/x
  3. Step 3: Cross multiply
    852,993x = 1,282,952 × 1,282,952
  4. Step 4: Simplify right side
    852,993x = 1,645,965,834,304
  5. Step 5: Solve for x
    x = 1,645,965,834,304/852,993
  6. Step 6: Final answer
    x = 1,929,635.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.