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Finding the Third Proportional to 427,183 and 909,581

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Solution

The third proportional to 427,183 and 909,581 is: 1,936,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,183 : 909,581 = 909,581 : x
  2. Step 2: Convert to fraction form
    427,183/909,581 = 909,581/x
  3. Step 3: Cross multiply
    427,183x = 909,581 × 909,581
  4. Step 4: Simplify right side
    427,183x = 827,337,595,561
  5. Step 5: Solve for x
    x = 827,337,595,561/427,183
  6. Step 6: Final answer
    x = 1,936,728.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.