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Finding the Third Proportional to 921,850 and 1,382,799

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Solution

The third proportional to 921,850 and 1,382,799 is: 2,074,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,850 : 1,382,799 = 1,382,799 : x
  2. Step 2: Convert to fraction form
    921,850/1,382,799 = 1,382,799/x
  3. Step 3: Cross multiply
    921,850x = 1,382,799 × 1,382,799
  4. Step 4: Simplify right side
    921,850x = 1,912,133,074,401
  5. Step 5: Solve for x
    x = 1,912,133,074,401/921,850
  6. Step 6: Final answer
    x = 2,074,234.50

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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.