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Finding the Third Proportional to 1,046,040 and 2,257,968

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Solution

The third proportional to 1,046,040 and 2,257,968 is: 4,874,019.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,040 : 2,257,968 = 2,257,968 : x
  2. Step 2: Convert to fraction form
    1,046,040/2,257,968 = 2,257,968/x
  3. Step 3: Cross multiply
    1,046,040x = 2,257,968 × 2,257,968
  4. Step 4: Simplify right side
    1,046,040x = 5,098,419,489,024
  5. Step 5: Solve for x
    x = 5,098,419,489,024/1,046,040
  6. Step 6: Final answer
    x = 4,874,019.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.