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Finding the Third Proportional to 414,798 and 888,348

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Solution

The third proportional to 414,798 and 888,348 is: 1,902,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,798 : 888,348 = 888,348 : x
  2. Step 2: Convert to fraction form
    414,798/888,348 = 888,348/x
  3. Step 3: Cross multiply
    414,798x = 888,348 × 888,348
  4. Step 4: Simplify right side
    414,798x = 789,162,169,104
  5. Step 5: Solve for x
    x = 789,162,169,104/414,798
  6. Step 6: Final answer
    x = 1,902,521.63

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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.