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Finding the Third Proportional to 431,271 and 935,847

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Solution

The third proportional to 431,271 and 935,847 is: 2,030,763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,271 : 935,847 = 935,847 : x
  2. Step 2: Convert to fraction form
    431,271/935,847 = 935,847/x
  3. Step 3: Cross multiply
    431,271x = 935,847 × 935,847
  4. Step 4: Simplify right side
    431,271x = 875,809,607,409
  5. Step 5: Solve for x
    x = 875,809,607,409/431,271
  6. Step 6: Final answer
    x = 2,030,763.97

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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.