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Finding the Third Proportional to 409,459 and 885,985.75

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Solution

The third proportional to 409,459 and 885,985.75 is: 1,917,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,459 : 885,985.75 = 885,985.75 : x
  2. Step 2: Convert to fraction form
    409,459/885,985.75 = 885,985.75/x
  3. Step 3: Cross multiply
    409,459x = 885,985.75 × 885,985.75
  4. Step 4: Simplify right side
    409,459x = 784,970,749,203.06
  5. Step 5: Solve for x
    x = 784,970,749,203.06/409,459
  6. Step 6: Final answer
    x = 1,917,092.43

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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.