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Finding the Third Proportional to 1,974,016 and 4,286,280

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Solution

The third proportional to 1,974,016 and 4,286,280 is: 9,307,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974,016 : 4,286,280 = 4,286,280 : x
  2. Step 2: Convert to fraction form
    1,974,016/4,286,280 = 4,286,280/x
  3. Step 3: Cross multiply
    1,974,016x = 4,286,280 × 4,286,280
  4. Step 4: Simplify right side
    1,974,016x = 18,372,196,238,400
  5. Step 5: Solve for x
    x = 18,372,196,238,400/1,974,016
  6. Step 6: Final answer
    x = 9,307,014.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.