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Finding the Third Proportional to 871,415.75 and 1,320,164.75

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Solution

The third proportional to 871,415.75 and 1,320,164.75 is: 2,000,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,415.75 : 1,320,164.75 = 1,320,164.75 : x
  2. Step 2: Convert to fraction form
    871,415.75/1,320,164.75 = 1,320,164.75/x
  3. Step 3: Cross multiply
    871,415.75x = 1,320,164.75 × 1,320,164.75
  4. Step 4: Simplify right side
    871,415.75x = 1,742,834,967,142.56
  5. Step 5: Solve for x
    x = 1,742,834,967,142.56/871,415.75
  6. Step 6: Final answer
    x = 2,000,003.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.