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Finding the Third Proportional to 588,060 and 1,275,696

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Solution

The third proportional to 588,060 and 1,275,696 is: 2,767,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,060 : 1,275,696 = 1,275,696 : x
  2. Step 2: Convert to fraction form
    588,060/1,275,696 = 1,275,696/x
  3. Step 3: Cross multiply
    588,060x = 1,275,696 × 1,275,696
  4. Step 4: Simplify right side
    588,060x = 1,627,400,284,416
  5. Step 5: Solve for x
    x = 1,627,400,284,416/588,060
  6. Step 6: Final answer
    x = 2,767,405.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.