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Finding the Third Proportional to 409,588 and 897,910

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Solution

The third proportional to 409,588 and 897,910 is: 1,968,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,588 : 897,910 = 897,910 : x
  2. Step 2: Convert to fraction form
    409,588/897,910 = 897,910/x
  3. Step 3: Cross multiply
    409,588x = 897,910 × 897,910
  4. Step 4: Simplify right side
    409,588x = 806,242,368,100
  5. Step 5: Solve for x
    x = 806,242,368,100/409,588
  6. Step 6: Final answer
    x = 1,968,422.83

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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.