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Finding the Third Proportional to 414,336 and 887,760

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Solution

The third proportional to 414,336 and 887,760 is: 1,902,122.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,336 : 887,760 = 887,760 : x
  2. Step 2: Convert to fraction form
    414,336/887,760 = 887,760/x
  3. Step 3: Cross multiply
    414,336x = 887,760 × 887,760
  4. Step 4: Simplify right side
    414,336x = 788,117,817,600
  5. Step 5: Solve for x
    x = 788,117,817,600/414,336
  6. Step 6: Final answer
    x = 1,902,122.47

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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.