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Finding the Third Proportional to 417,936 and 905,856

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Solution

The third proportional to 417,936 and 905,856 is: 1,963,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,936 : 905,856 = 905,856 : x
  2. Step 2: Convert to fraction form
    417,936/905,856 = 905,856/x
  3. Step 3: Cross multiply
    417,936x = 905,856 × 905,856
  4. Step 4: Simplify right side
    417,936x = 820,575,092,736
  5. Step 5: Solve for x
    x = 820,575,092,736/417,936
  6. Step 6: Final answer
    x = 1,963,398.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.