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Finding the Third Proportional to 444,930 and 959,850

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Solution

The third proportional to 444,930 and 959,850 is: 2,070,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,930 : 959,850 = 959,850 : x
  2. Step 2: Convert to fraction form
    444,930/959,850 = 959,850/x
  3. Step 3: Cross multiply
    444,930x = 959,850 × 959,850
  4. Step 4: Simplify right side
    444,930x = 921,312,022,500
  5. Step 5: Solve for x
    x = 921,312,022,500/444,930
  6. Step 6: Final answer
    x = 2,070,689.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.