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Finding the Third Proportional to 415,686 and 896,232

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Solution

The third proportional to 415,686 and 896,232 is: 1,932,304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,686 : 896,232 = 896,232 : x
  2. Step 2: Convert to fraction form
    415,686/896,232 = 896,232/x
  3. Step 3: Cross multiply
    415,686x = 896,232 × 896,232
  4. Step 4: Simplify right side
    415,686x = 803,231,797,824
  5. Step 5: Solve for x
    x = 803,231,797,824/415,686
  6. Step 6: Final answer
    x = 1,932,304.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.