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Finding the Third Proportional to 661,936.50 and 1,022,857.50

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Solution

The third proportional to 661,936.50 and 1,022,857.50 is: 1,580,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,936.50 : 1,022,857.50 = 1,022,857.50 : x
  2. Step 2: Convert to fraction form
    661,936.50/1,022,857.50 = 1,022,857.50/x
  3. Step 3: Cross multiply
    661,936.50x = 1,022,857.50 × 1,022,857.50
  4. Step 4: Simplify right side
    661,936.50x = 1,046,237,465,306.25
  5. Step 5: Solve for x
    x = 1,046,237,465,306.25/661,936.50
  6. Step 6: Final answer
    x = 1,580,570.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.