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Finding the Third Proportional to 769,312.69 and 1,674,082.69

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Solution

The third proportional to 769,312.69 and 1,674,082.69 is: 3,642,930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,312.69 : 1,674,082.69 = 1,674,082.69 : x
  2. Step 2: Convert to fraction form
    769,312.69/1,674,082.69 = 1,674,082.69/x
  3. Step 3: Cross multiply
    769,312.69x = 1,674,082.69 × 1,674,082.69
  4. Step 4: Simplify right side
    769,312.69x = 2,802,552,844,587.22
  5. Step 5: Solve for x
    x = 2,802,552,844,587.22/769,312.69
  6. Step 6: Final answer
    x = 3,642,930.75

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