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Finding the Third Proportional to 597,190.22 and 1,299,351.38

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Solution

The third proportional to 597,190.22 and 1,299,351.38 is: 2,827,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,190.22 : 1,299,351.38 = 1,299,351.38 : x
  2. Step 2: Convert to fraction form
    597,190.22/1,299,351.38 = 1,299,351.38/x
  3. Step 3: Cross multiply
    597,190.22x = 1,299,351.38 × 1,299,351.38
  4. Step 4: Simplify right side
    597,190.22x = 1,688,313,995,714.39
  5. Step 5: Solve for x
    x = 1,688,313,995,714.39/597,190.22
  6. Step 6: Final answer
    x = 2,827,095.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.