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Finding the Third Proportional to 454,091 and 986,782

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Solution

The third proportional to 454,091 and 986,782 is: 2,144,369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,091 : 986,782 = 986,782 : x
  2. Step 2: Convert to fraction form
    454,091/986,782 = 986,782/x
  3. Step 3: Cross multiply
    454,091x = 986,782 × 986,782
  4. Step 4: Simplify right side
    454,091x = 973,738,715,524
  5. Step 5: Solve for x
    x = 973,738,715,524/454,091
  6. Step 6: Final answer
    x = 2,144,369.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.