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Finding the Third Proportional to 404,724 and 880,845

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Solution

The third proportional to 404,724 and 880,845 is: 1,917,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,724 : 880,845 = 880,845 : x
  2. Step 2: Convert to fraction form
    404,724/880,845 = 880,845/x
  3. Step 3: Cross multiply
    404,724x = 880,845 × 880,845
  4. Step 4: Simplify right side
    404,724x = 775,887,914,025
  5. Step 5: Solve for x
    x = 775,887,914,025/404,724
  6. Step 6: Final answer
    x = 1,917,079.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.