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Finding the Third Proportional to 1,871,660.25 and 3,832,008.75

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Solution

The third proportional to 1,871,660.25 and 3,832,008.75 is: 7,845,596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871,660.25 : 3,832,008.75 = 3,832,008.75 : x
  2. Step 2: Convert to fraction form
    1,871,660.25/3,832,008.75 = 3,832,008.75/x
  3. Step 3: Cross multiply
    1,871,660.25x = 3,832,008.75 × 3,832,008.75
  4. Step 4: Simplify right side
    1,871,660.25x = 14,684,291,060,076.56
  5. Step 5: Solve for x
    x = 14,684,291,060,076.56/1,871,660.25
  6. Step 6: Final answer
    x = 7,845,596.48

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.