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Finding the Third Proportional to 768,715.31 and 1,682,224.88

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Solution

The third proportional to 768,715.31 and 1,682,224.88 is: 3,681,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,715.31 : 1,682,224.88 = 1,682,224.88 : x
  2. Step 2: Convert to fraction form
    768,715.31/1,682,224.88 = 1,682,224.88/x
  3. Step 3: Cross multiply
    768,715.31x = 1,682,224.88 × 1,682,224.88
  4. Step 4: Simplify right side
    768,715.31x = 2,829,880,530,068.77
  5. Step 5: Solve for x
    x = 2,829,880,530,068.77/768,715.31
  6. Step 6: Final answer
    x = 3,681,311.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.