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Finding the Third Proportional to 446,197 and 922,398

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Solution

The third proportional to 446,197 and 922,398 is: 1,906,821.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,197 : 922,398 = 922,398 : x
  2. Step 2: Convert to fraction form
    446,197/922,398 = 922,398/x
  3. Step 3: Cross multiply
    446,197x = 922,398 × 922,398
  4. Step 4: Simplify right side
    446,197x = 850,818,070,404
  5. Step 5: Solve for x
    x = 850,818,070,404/446,197
  6. Step 6: Final answer
    x = 1,906,821.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.