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Finding the Third Proportional to 665,169 and 1,027,675

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Solution

The third proportional to 665,169 and 1,027,675 is: 1,587,740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,169 : 1,027,675 = 1,027,675 : x
  2. Step 2: Convert to fraction form
    665,169/1,027,675 = 1,027,675/x
  3. Step 3: Cross multiply
    665,169x = 1,027,675 × 1,027,675
  4. Step 4: Simplify right side
    665,169x = 1,056,115,905,625
  5. Step 5: Solve for x
    x = 1,056,115,905,625/665,169
  6. Step 6: Final answer
    x = 1,587,740.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.