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Finding the Third Proportional to 427,183 and 909,582

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Solution

The third proportional to 427,183 and 909,582 is: 1,936,733.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,183 : 909,582 = 909,582 : x
  2. Step 2: Convert to fraction form
    427,183/909,582 = 909,582/x
  3. Step 3: Cross multiply
    427,183x = 909,582 × 909,582
  4. Step 4: Simplify right side
    427,183x = 827,339,414,724
  5. Step 5: Solve for x
    x = 827,339,414,724/427,183
  6. Step 6: Final answer
    x = 1,936,733.00

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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.