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Finding the Third Proportional to 951,903 and 2,077,441

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Solution

The third proportional to 951,903 and 2,077,441 is: 4,533,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,903 : 2,077,441 = 2,077,441 : x
  2. Step 2: Convert to fraction form
    951,903/2,077,441 = 2,077,441/x
  3. Step 3: Cross multiply
    951,903x = 2,077,441 × 2,077,441
  4. Step 4: Simplify right side
    951,903x = 4,315,761,108,481
  5. Step 5: Solve for x
    x = 4,315,761,108,481/951,903
  6. Step 6: Final answer
    x = 4,533,824.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.