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Finding the Third Proportional to 686,080.13 and 1,504,656

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Solution

The third proportional to 686,080.13 and 1,504,656 is: 3,299,891.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,080.13 : 1,504,656 = 1,504,656 : x
  2. Step 2: Convert to fraction form
    686,080.13/1,504,656 = 1,504,656/x
  3. Step 3: Cross multiply
    686,080.13x = 1,504,656 × 1,504,656
  4. Step 4: Simplify right side
    686,080.13x = 2,263,989,678,336
  5. Step 5: Solve for x
    x = 2,263,989,678,336/686,080.13
  6. Step 6: Final answer
    x = 3,299,891.07

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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.