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Finding the Third Proportional to 619,336.13 and 905,104.13

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Solution

The third proportional to 619,336.13 and 905,104.13 is: 1,322,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,336.13 : 905,104.13 = 905,104.13 : x
  2. Step 2: Convert to fraction form
    619,336.13/905,104.13 = 905,104.13/x
  3. Step 3: Cross multiply
    619,336.13x = 905,104.13 × 905,104.13
  4. Step 4: Simplify right side
    619,336.13x = 819,213,477,092.02
  5. Step 5: Solve for x
    x = 819,213,477,092.02/619,336.13
  6. Step 6: Final answer
    x = 1,322,728.39

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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.