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Finding the Third Proportional to 409,592 and 897,913

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Solution

The third proportional to 409,592 and 897,913 is: 1,968,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,592 : 897,913 = 897,913 : x
  2. Step 2: Convert to fraction form
    409,592/897,913 = 897,913/x
  3. Step 3: Cross multiply
    409,592x = 897,913 × 897,913
  4. Step 4: Simplify right side
    409,592x = 806,247,755,569
  5. Step 5: Solve for x
    x = 806,247,755,569/409,592
  6. Step 6: Final answer
    x = 1,968,416.76

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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.