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Finding the Third Proportional to 1,941,743 and 2,912,616

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Solution

The third proportional to 1,941,743 and 2,912,616 is: 4,368,926.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941,743 : 2,912,616 = 2,912,616 : x
  2. Step 2: Convert to fraction form
    1,941,743/2,912,616 = 2,912,616/x
  3. Step 3: Cross multiply
    1,941,743x = 2,912,616 × 2,912,616
  4. Step 4: Simplify right side
    1,941,743x = 8,483,331,963,456
  5. Step 5: Solve for x
    x = 8,483,331,963,456/1,941,743
  6. Step 6: Final answer
    x = 4,368,926.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.