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Finding the Third Proportional to 610,425 and 897,992

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Solution

The third proportional to 610,425 and 897,992 is: 1,321,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,425 : 897,992 = 897,992 : x
  2. Step 2: Convert to fraction form
    610,425/897,992 = 897,992/x
  3. Step 3: Cross multiply
    610,425x = 897,992 × 897,992
  4. Step 4: Simplify right side
    610,425x = 806,389,632,064
  5. Step 5: Solve for x
    x = 806,389,632,064/610,425
  6. Step 6: Final answer
    x = 1,321,029.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.