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Finding the Third Proportional to 504,886 and 1,080,696

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Solution

The third proportional to 504,886 and 1,080,696 is: 2,313,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,886 : 1,080,696 = 1,080,696 : x
  2. Step 2: Convert to fraction form
    504,886/1,080,696 = 1,080,696/x
  3. Step 3: Cross multiply
    504,886x = 1,080,696 × 1,080,696
  4. Step 4: Simplify right side
    504,886x = 1,167,903,844,416
  5. Step 5: Solve for x
    x = 1,167,903,844,416/504,886
  6. Step 6: Final answer
    x = 2,313,203.07

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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.