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Finding the Third Proportional to 619,381.69 and 1,364,487.19

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Solution

The third proportional to 619,381.69 and 1,364,487.19 is: 3,005,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,381.69 : 1,364,487.19 = 1,364,487.19 : x
  2. Step 2: Convert to fraction form
    619,381.69/1,364,487.19 = 1,364,487.19/x
  3. Step 3: Cross multiply
    619,381.69x = 1,364,487.19 × 1,364,487.19
  4. Step 4: Simplify right side
    619,381.69x = 1,861,825,284,851.66
  5. Step 5: Solve for x
    x = 1,861,825,284,851.66/619,381.69
  6. Step 6: Final answer
    x = 3,005,941.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.