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Finding the Third Proportional to 783,643.50 and 1,600,497

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Solution

The third proportional to 783,643.50 and 1,600,497 is: 3,268,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,643.50 : 1,600,497 = 1,600,497 : x
  2. Step 2: Convert to fraction form
    783,643.50/1,600,497 = 1,600,497/x
  3. Step 3: Cross multiply
    783,643.50x = 1,600,497 × 1,600,497
  4. Step 4: Simplify right side
    783,643.50x = 2,561,590,647,009
  5. Step 5: Solve for x
    x = 2,561,590,647,009/783,643.50
  6. Step 6: Final answer
    x = 3,268,821.41

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.