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Finding the Third Proportional to 619,986.38 and 877,521.38

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Solution

The third proportional to 619,986.38 and 877,521.38 is: 1,242,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,986.38 : 877,521.38 = 877,521.38 : x
  2. Step 2: Convert to fraction form
    619,986.38/877,521.38 = 877,521.38/x
  3. Step 3: Cross multiply
    619,986.38x = 877,521.38 × 877,521.38
  4. Step 4: Simplify right side
    619,986.38x = 770,043,763,581.89
  5. Step 5: Solve for x
    x = 770,043,763,581.89/619,986.38
  6. Step 6: Final answer
    x = 1,242,033.36

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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.