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Finding the Third Proportional to 444,862 and 978,283

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Solution

The third proportional to 444,862 and 978,283 is: 2,151,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,862 : 978,283 = 978,283 : x
  2. Step 2: Convert to fraction form
    444,862/978,283 = 978,283/x
  3. Step 3: Cross multiply
    444,862x = 978,283 × 978,283
  4. Step 4: Simplify right side
    444,862x = 957,037,628,089
  5. Step 5: Solve for x
    x = 957,037,628,089/444,862
  6. Step 6: Final answer
    x = 2,151,313.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.