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Finding the Third Proportional to 456,075 and 978,567

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Solution

The third proportional to 456,075 and 978,567 is: 2,099,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,075 : 978,567 = 978,567 : x
  2. Step 2: Convert to fraction form
    456,075/978,567 = 978,567/x
  3. Step 3: Cross multiply
    456,075x = 978,567 × 978,567
  4. Step 4: Simplify right side
    456,075x = 957,593,373,489
  5. Step 5: Solve for x
    x = 957,593,373,489/456,075
  6. Step 6: Final answer
    x = 2,099,640.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.