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Finding the Third Proportional to 767,037.09 and 1,668,369.66

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Solution

The third proportional to 767,037.09 and 1,668,369.66 is: 3,628,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,037.09 : 1,668,369.66 = 1,668,369.66 : x
  2. Step 2: Convert to fraction form
    767,037.09/1,668,369.66 = 1,668,369.66/x
  3. Step 3: Cross multiply
    767,037.09x = 1,668,369.66 × 1,668,369.66
  4. Step 4: Simplify right side
    767,037.09x = 2,783,457,309,895.74
  5. Step 5: Solve for x
    x = 2,783,457,309,895.74/767,037.09
  6. Step 6: Final answer
    x = 3,628,843.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.