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Finding the Third Proportional to 455,569 and 989,777

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Solution

The third proportional to 455,569 and 989,777 is: 2,150,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,569 : 989,777 = 989,777 : x
  2. Step 2: Convert to fraction form
    455,569/989,777 = 989,777/x
  3. Step 3: Cross multiply
    455,569x = 989,777 × 989,777
  4. Step 4: Simplify right side
    455,569x = 979,658,509,729
  5. Step 5: Solve for x
    x = 979,658,509,729/455,569
  6. Step 6: Final answer
    x = 2,150,406.44

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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.