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Finding the Third Proportional to 1,428,314 and 2,974,996

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Solution

The third proportional to 1,428,314 and 2,974,996 is: 6,196,537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,314 : 2,974,996 = 2,974,996 : x
  2. Step 2: Convert to fraction form
    1,428,314/2,974,996 = 2,974,996/x
  3. Step 3: Cross multiply
    1,428,314x = 2,974,996 × 2,974,996
  4. Step 4: Simplify right side
    1,428,314x = 8,850,601,200,016
  5. Step 5: Solve for x
    x = 8,850,601,200,016/1,428,314
  6. Step 6: Final answer
    x = 6,196,537.46

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.