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Finding the Third Proportional to 834,969 and 1,250,251

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Solution

The third proportional to 834,969 and 1,250,251 is: 1,872,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,969 : 1,250,251 = 1,250,251 : x
  2. Step 2: Convert to fraction form
    834,969/1,250,251 = 1,250,251/x
  3. Step 3: Cross multiply
    834,969x = 1,250,251 × 1,250,251
  4. Step 4: Simplify right side
    834,969x = 1,563,127,563,001
  5. Step 5: Solve for x
    x = 1,563,127,563,001/834,969
  6. Step 6: Final answer
    x = 1,872,078.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.