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Finding the Third Proportional to 427,184 and 909,584

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Solution

The third proportional to 427,184 and 909,584 is: 1,936,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,184 : 909,584 = 909,584 : x
  2. Step 2: Convert to fraction form
    427,184/909,584 = 909,584/x
  3. Step 3: Cross multiply
    427,184x = 909,584 × 909,584
  4. Step 4: Simplify right side
    427,184x = 827,343,053,056
  5. Step 5: Solve for x
    x = 827,343,053,056/427,184
  6. Step 6: Final answer
    x = 1,936,736.99

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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.