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Finding the Third Proportional to 661,926.50 and 1,022,844.50

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Solution

The third proportional to 661,926.50 and 1,022,844.50 is: 1,580,554.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,926.50 : 1,022,844.50 = 1,022,844.50 : x
  2. Step 2: Convert to fraction form
    661,926.50/1,022,844.50 = 1,022,844.50/x
  3. Step 3: Cross multiply
    661,926.50x = 1,022,844.50 × 1,022,844.50
  4. Step 4: Simplify right side
    661,926.50x = 1,046,210,871,180.25
  5. Step 5: Solve for x
    x = 1,046,210,871,180.25/661,926.50
  6. Step 6: Final answer
    x = 1,580,554.44

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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.