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Finding the Third Proportional to 913,832 and 1,967,696

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Solution

The third proportional to 913,832 and 1,967,696 is: 4,236,913.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,832 : 1,967,696 = 1,967,696 : x
  2. Step 2: Convert to fraction form
    913,832/1,967,696 = 1,967,696/x
  3. Step 3: Cross multiply
    913,832x = 1,967,696 × 1,967,696
  4. Step 4: Simplify right side
    913,832x = 3,871,827,548,416
  5. Step 5: Solve for x
    x = 3,871,827,548,416/913,832
  6. Step 6: Final answer
    x = 4,236,913.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.