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Finding the Third Proportional to 619,982.44 and 877,515.19

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Solution

The third proportional to 619,982.44 and 877,515.19 is: 1,242,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,982.44 : 877,515.19 = 877,515.19 : x
  2. Step 2: Convert to fraction form
    619,982.44/877,515.19 = 877,515.19/x
  3. Step 3: Cross multiply
    619,982.44x = 877,515.19 × 877,515.19
  4. Step 4: Simplify right side
    619,982.44x = 770,032,904,293.16
  5. Step 5: Solve for x
    x = 770,032,904,293.16/619,982.44
  6. Step 6: Final answer
    x = 1,242,023.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.