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Finding the Third Proportional to 404,496 and 898,777

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Solution

The third proportional to 404,496 and 898,777 is: 1,997,053.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,496 : 898,777 = 898,777 : x
  2. Step 2: Convert to fraction form
    404,496/898,777 = 898,777/x
  3. Step 3: Cross multiply
    404,496x = 898,777 × 898,777
  4. Step 4: Simplify right side
    404,496x = 807,800,095,729
  5. Step 5: Solve for x
    x = 807,800,095,729/404,496
  6. Step 6: Final answer
    x = 1,997,053.36

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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.