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Finding the Third Proportional to 604,024 and 844,910

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Solution

The third proportional to 604,024 and 844,910 is: 1,181,861.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,024 : 844,910 = 844,910 : x
  2. Step 2: Convert to fraction form
    604,024/844,910 = 844,910/x
  3. Step 3: Cross multiply
    604,024x = 844,910 × 844,910
  4. Step 4: Simplify right side
    604,024x = 713,872,908,100
  5. Step 5: Solve for x
    x = 713,872,908,100/604,024
  6. Step 6: Final answer
    x = 1,181,861.83

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.