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Finding the Third Proportional to 579,164 and 1,276,208

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Solution

The third proportional to 579,164 and 1,276,208 is: 2,812,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,164 : 1,276,208 = 1,276,208 : x
  2. Step 2: Convert to fraction form
    579,164/1,276,208 = 1,276,208/x
  3. Step 3: Cross multiply
    579,164x = 1,276,208 × 1,276,208
  4. Step 4: Simplify right side
    579,164x = 1,628,706,859,264
  5. Step 5: Solve for x
    x = 1,628,706,859,264/579,164
  6. Step 6: Final answer
    x = 2,812,168.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.