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Finding the Third Proportional to 871,776 and 1,867,968

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Solution

The third proportional to 871,776 and 1,867,968 is: 4,002,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,776 : 1,867,968 = 1,867,968 : x
  2. Step 2: Convert to fraction form
    871,776/1,867,968 = 1,867,968/x
  3. Step 3: Cross multiply
    871,776x = 1,867,968 × 1,867,968
  4. Step 4: Simplify right side
    871,776x = 3,489,304,449,024
  5. Step 5: Solve for x
    x = 3,489,304,449,024/871,776
  6. Step 6: Final answer
    x = 4,002,524.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.