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Finding the Third Proportional to 639,290 and 970,597

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Solution

The third proportional to 639,290 and 970,597 is: 1,473,601.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,290 : 970,597 = 970,597 : x
  2. Step 2: Convert to fraction form
    639,290/970,597 = 970,597/x
  3. Step 3: Cross multiply
    639,290x = 970,597 × 970,597
  4. Step 4: Simplify right side
    639,290x = 942,058,536,409
  5. Step 5: Solve for x
    x = 942,058,536,409/639,290
  6. Step 6: Final answer
    x = 1,473,601.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.