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Finding the Third Proportional to 666,408 and 1,058,652

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Solution

The third proportional to 666,408 and 1,058,652 is: 1,681,768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,408 : 1,058,652 = 1,058,652 : x
  2. Step 2: Convert to fraction form
    666,408/1,058,652 = 1,058,652/x
  3. Step 3: Cross multiply
    666,408x = 1,058,652 × 1,058,652
  4. Step 4: Simplify right side
    666,408x = 1,120,744,057,104
  5. Step 5: Solve for x
    x = 1,120,744,057,104/666,408
  6. Step 6: Final answer
    x = 1,681,768.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.