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Finding the Third Proportional to 619,344 and 905,116

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Solution

The third proportional to 619,344 and 905,116 is: 1,322,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,344 : 905,116 = 905,116 : x
  2. Step 2: Convert to fraction form
    619,344/905,116 = 905,116/x
  3. Step 3: Cross multiply
    619,344x = 905,116 × 905,116
  4. Step 4: Simplify right side
    619,344x = 819,234,973,456
  5. Step 5: Solve for x
    x = 819,234,973,456/619,344
  6. Step 6: Final answer
    x = 1,322,746.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.