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Finding the Third Proportional to 810,212.63 and 1,746,033.75

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Solution

The third proportional to 810,212.63 and 1,746,033.75 is: 3,762,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,212.63 : 1,746,033.75 = 1,746,033.75 : x
  2. Step 2: Convert to fraction form
    810,212.63/1,746,033.75 = 1,746,033.75/x
  3. Step 3: Cross multiply
    810,212.63x = 1,746,033.75 × 1,746,033.75
  4. Step 4: Simplify right side
    810,212.63x = 3,048,633,856,139.06
  5. Step 5: Solve for x
    x = 3,048,633,856,139.06/810,212.63
  6. Step 6: Final answer
    x = 3,762,757.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.