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Finding the Third Proportional to 416,448 and 889,704

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Solution

The third proportional to 416,448 and 889,704 is: 1,900,773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,448 : 889,704 = 889,704 : x
  2. Step 2: Convert to fraction form
    416,448/889,704 = 889,704/x
  3. Step 3: Cross multiply
    416,448x = 889,704 × 889,704
  4. Step 4: Simplify right side
    416,448x = 791,573,207,616
  5. Step 5: Solve for x
    x = 791,573,207,616/416,448
  6. Step 6: Final answer
    x = 1,900,773.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.