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Finding the Third Proportional to 783,969.75 and 1,662,138

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Solution

The third proportional to 783,969.75 and 1,662,138 is: 3,523,991.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,969.75 : 1,662,138 = 1,662,138 : x
  2. Step 2: Convert to fraction form
    783,969.75/1,662,138 = 1,662,138/x
  3. Step 3: Cross multiply
    783,969.75x = 1,662,138 × 1,662,138
  4. Step 4: Simplify right side
    783,969.75x = 2,762,702,731,044
  5. Step 5: Solve for x
    x = 2,762,702,731,044/783,969.75
  6. Step 6: Final answer
    x = 3,523,991.49

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.