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Finding the Third Proportional to 757,972.69 and 1,643,424.19

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Solution

The third proportional to 757,972.69 and 1,643,424.19 is: 3,563,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,972.69 : 1,643,424.19 = 1,643,424.19 : x
  2. Step 2: Convert to fraction form
    757,972.69/1,643,424.19 = 1,643,424.19/x
  3. Step 3: Cross multiply
    757,972.69x = 1,643,424.19 × 1,643,424.19
  4. Step 4: Simplify right side
    757,972.69x = 2,700,843,060,060.04
  5. Step 5: Solve for x
    x = 2,700,843,060,060.04/757,972.69
  6. Step 6: Final answer
    x = 3,563,245.89

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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.