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Finding the Third Proportional to 562,362 and 1,213,302

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Solution

The third proportional to 562,362 and 1,213,302 is: 2,617,711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,362 : 1,213,302 = 1,213,302 : x
  2. Step 2: Convert to fraction form
    562,362/1,213,302 = 1,213,302/x
  3. Step 3: Cross multiply
    562,362x = 1,213,302 × 1,213,302
  4. Step 4: Simplify right side
    562,362x = 1,472,101,743,204
  5. Step 5: Solve for x
    x = 1,472,101,743,204/562,362
  6. Step 6: Final answer
    x = 2,617,711.98

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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.