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Finding the Third Proportional to 639,132 and 920,682

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Solution

The third proportional to 639,132 and 920,682 is: 1,326,260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,132 : 920,682 = 920,682 : x
  2. Step 2: Convert to fraction form
    639,132/920,682 = 920,682/x
  3. Step 3: Cross multiply
    639,132x = 920,682 × 920,682
  4. Step 4: Simplify right side
    639,132x = 847,655,345,124
  5. Step 5: Solve for x
    x = 847,655,345,124/639,132
  6. Step 6: Final answer
    x = 1,326,260.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.