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Finding the Third Proportional to 1,941,747 and 2,912,622

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Solution

The third proportional to 1,941,747 and 2,912,622 is: 4,368,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941,747 : 2,912,622 = 2,912,622 : x
  2. Step 2: Convert to fraction form
    1,941,747/2,912,622 = 2,912,622/x
  3. Step 3: Cross multiply
    1,941,747x = 2,912,622 × 2,912,622
  4. Step 4: Simplify right side
    1,941,747x = 8,483,366,914,884
  5. Step 5: Solve for x
    x = 8,483,366,914,884/1,941,747
  6. Step 6: Final answer
    x = 4,368,935.25

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Why These Related Problems?

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