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Finding the Third Proportional to 562,311 and 1,213,197

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Solution

The third proportional to 562,311 and 1,213,197 is: 2,617,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,311 : 1,213,197 = 1,213,197 : x
  2. Step 2: Convert to fraction form
    562,311/1,213,197 = 1,213,197/x
  3. Step 3: Cross multiply
    562,311x = 1,213,197 × 1,213,197
  4. Step 4: Simplify right side
    562,311x = 1,471,846,960,809
  5. Step 5: Solve for x
    x = 1,471,846,960,809/562,311
  6. Step 6: Final answer
    x = 2,617,496.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.