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Finding the Third Proportional to 2,052,747 and 2,956,907.25

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Solution

The third proportional to 2,052,747 and 2,956,907.25 is: 4,259,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052,747 : 2,956,907.25 = 2,956,907.25 : x
  2. Step 2: Convert to fraction form
    2,052,747/2,956,907.25 = 2,956,907.25/x
  3. Step 3: Cross multiply
    2,052,747x = 2,956,907.25 × 2,956,907.25
  4. Step 4: Simplify right side
    2,052,747x = 8,743,300,485,102.56
  5. Step 5: Solve for x
    x = 8,743,300,485,102.56/2,052,747
  6. Step 6: Final answer
    x = 4,259,317.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.