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Finding the Third Proportional to 447,604 and 994,664

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Solution

The third proportional to 447,604 and 994,664 is: 2,210,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,604 : 994,664 = 994,664 : x
  2. Step 2: Convert to fraction form
    447,604/994,664 = 994,664/x
  3. Step 3: Cross multiply
    447,604x = 994,664 × 994,664
  4. Step 4: Simplify right side
    447,604x = 989,356,472,896
  5. Step 5: Solve for x
    x = 989,356,472,896/447,604
  6. Step 6: Final answer
    x = 2,210,338.77

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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.