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Finding the Third Proportional to 444,652 and 975,724

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Solution

The third proportional to 444,652 and 975,724 is: 2,141,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,652 : 975,724 = 975,724 : x
  2. Step 2: Convert to fraction form
    444,652/975,724 = 975,724/x
  3. Step 3: Cross multiply
    444,652x = 975,724 × 975,724
  4. Step 4: Simplify right side
    444,652x = 952,037,324,176
  5. Step 5: Solve for x
    x = 952,037,324,176/444,652
  6. Step 6: Final answer
    x = 2,141,084.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.