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Finding the Third Proportional to 562,092 and 1,204,497

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Solution

The third proportional to 562,092 and 1,204,497 is: 2,581,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,092 : 1,204,497 = 1,204,497 : x
  2. Step 2: Convert to fraction form
    562,092/1,204,497 = 1,204,497/x
  3. Step 3: Cross multiply
    562,092x = 1,204,497 × 1,204,497
  4. Step 4: Simplify right side
    562,092x = 1,450,813,023,009
  5. Step 5: Solve for x
    x = 1,450,813,023,009/562,092
  6. Step 6: Final answer
    x = 2,581,095.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.