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Finding the Third Proportional to 437,853 and 943,251

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Solution

The third proportional to 437,853 and 943,251 is: 2,032,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,853 : 943,251 = 943,251 : x
  2. Step 2: Convert to fraction form
    437,853/943,251 = 943,251/x
  3. Step 3: Cross multiply
    437,853x = 943,251 × 943,251
  4. Step 4: Simplify right side
    437,853x = 889,722,449,001
  5. Step 5: Solve for x
    x = 889,722,449,001/437,853
  6. Step 6: Final answer
    x = 2,032,011.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.