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Finding the Third Proportional to 512,802 and 1,122,257

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Solution

The third proportional to 512,802 and 1,122,257 is: 2,456,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,802 : 1,122,257 = 1,122,257 : x
  2. Step 2: Convert to fraction form
    512,802/1,122,257 = 1,122,257/x
  3. Step 3: Cross multiply
    512,802x = 1,122,257 × 1,122,257
  4. Step 4: Simplify right side
    512,802x = 1,259,460,774,049
  5. Step 5: Solve for x
    x = 1,259,460,774,049/512,802
  6. Step 6: Final answer
    x = 2,456,037.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.