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Finding the Third Proportional to 521,006 and 1,135,324

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Solution

The third proportional to 521,006 and 1,135,324 is: 2,473,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,006 : 1,135,324 = 1,135,324 : x
  2. Step 2: Convert to fraction form
    521,006/1,135,324 = 1,135,324/x
  3. Step 3: Cross multiply
    521,006x = 1,135,324 × 1,135,324
  4. Step 4: Simplify right side
    521,006x = 1,288,960,584,976
  5. Step 5: Solve for x
    x = 1,288,960,584,976/521,006
  6. Step 6: Final answer
    x = 2,473,984.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.