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Finding the Third Proportional to 445,086 and 989,682

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Solution

The third proportional to 445,086 and 989,682 is: 2,200,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,086 : 989,682 = 989,682 : x
  2. Step 2: Convert to fraction form
    445,086/989,682 = 989,682/x
  3. Step 3: Cross multiply
    445,086x = 989,682 × 989,682
  4. Step 4: Simplify right side
    445,086x = 979,470,461,124
  5. Step 5: Solve for x
    x = 979,470,461,124/445,086
  6. Step 6: Final answer
    x = 2,200,631.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.