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Finding the Third Proportional to 707,644 and 1,058,874

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Solution

The third proportional to 707,644 and 1,058,874 is: 1,584,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,644 : 1,058,874 = 1,058,874 : x
  2. Step 2: Convert to fraction form
    707,644/1,058,874 = 1,058,874/x
  3. Step 3: Cross multiply
    707,644x = 1,058,874 × 1,058,874
  4. Step 4: Simplify right side
    707,644x = 1,121,214,147,876
  5. Step 5: Solve for x
    x = 1,121,214,147,876/707,644
  6. Step 6: Final answer
    x = 1,584,432.49

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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.