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Finding the Third Proportional to 411,263 and 990,752

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Solution

The third proportional to 411,263 and 990,752 is: 2,386,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,263 : 990,752 = 990,752 : x
  2. Step 2: Convert to fraction form
    411,263/990,752 = 990,752/x
  3. Step 3: Cross multiply
    411,263x = 990,752 × 990,752
  4. Step 4: Simplify right side
    411,263x = 981,589,525,504
  5. Step 5: Solve for x
    x = 981,589,525,504/411,263
  6. Step 6: Final answer
    x = 2,386,768.38

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.