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Finding the Third Proportional to 413,871 and 905,232

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Solution

The third proportional to 413,871 and 905,232 is: 1,979,952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,871 : 905,232 = 905,232 : x
  2. Step 2: Convert to fraction form
    413,871/905,232 = 905,232/x
  3. Step 3: Cross multiply
    413,871x = 905,232 × 905,232
  4. Step 4: Simplify right side
    413,871x = 819,444,973,824
  5. Step 5: Solve for x
    x = 819,444,973,824/413,871
  6. Step 6: Final answer
    x = 1,979,952.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.