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Finding the Third Proportional to 946,974 and 1,275,873

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Solution

The third proportional to 946,974 and 1,275,873 is: 1,719,003.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,974 : 1,275,873 = 1,275,873 : x
  2. Step 2: Convert to fraction form
    946,974/1,275,873 = 1,275,873/x
  3. Step 3: Cross multiply
    946,974x = 1,275,873 × 1,275,873
  4. Step 4: Simplify right side
    946,974x = 1,627,851,912,129
  5. Step 5: Solve for x
    x = 1,627,851,912,129/946,974
  6. Step 6: Final answer
    x = 1,719,003.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.