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Finding the Third Proportional to 768,421.69 and 1,669,701.09

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Solution

The third proportional to 768,421.69 and 1,669,701.09 is: 3,628,088.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,421.69 : 1,669,701.09 = 1,669,701.09 : x
  2. Step 2: Convert to fraction form
    768,421.69/1,669,701.09 = 1,669,701.09/x
  3. Step 3: Cross multiply
    768,421.69x = 1,669,701.09 × 1,669,701.09
  4. Step 4: Simplify right side
    768,421.69x = 2,787,901,742,469.95
  5. Step 5: Solve for x
    x = 2,787,901,742,469.95/768,421.69
  6. Step 6: Final answer
    x = 3,628,088.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.