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Finding the Third Proportional to 456,073 and 978,563

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Solution

The third proportional to 456,073 and 978,563 is: 2,099,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,073 : 978,563 = 978,563 : x
  2. Step 2: Convert to fraction form
    456,073/978,563 = 978,563/x
  3. Step 3: Cross multiply
    456,073x = 978,563 × 978,563
  4. Step 4: Simplify right side
    456,073x = 957,585,544,969
  5. Step 5: Solve for x
    x = 957,585,544,969/456,073
  6. Step 6: Final answer
    x = 2,099,632.18

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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.