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Finding the Third Proportional to 431,295 and 935,895

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Solution

The third proportional to 431,295 and 935,895 is: 2,030,859.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,295 : 935,895 = 935,895 : x
  2. Step 2: Convert to fraction form
    431,295/935,895 = 935,895/x
  3. Step 3: Cross multiply
    431,295x = 935,895 × 935,895
  4. Step 4: Simplify right side
    431,295x = 875,899,451,025
  5. Step 5: Solve for x
    x = 875,899,451,025/431,295
  6. Step 6: Final answer
    x = 2,030,859.28

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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.