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Finding the Third Proportional to 1,557,706 and 2,469,968

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Solution

The third proportional to 1,557,706 and 2,469,968 is: 3,916,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557,706 : 2,469,968 = 2,469,968 : x
  2. Step 2: Convert to fraction form
    1,557,706/2,469,968 = 2,469,968/x
  3. Step 3: Cross multiply
    1,557,706x = 2,469,968 × 2,469,968
  4. Step 4: Simplify right side
    1,557,706x = 6,100,741,921,024
  5. Step 5: Solve for x
    x = 6,100,741,921,024/1,557,706
  6. Step 6: Final answer
    x = 3,916,491.25

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.