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Finding the Third Proportional to 569,467.13 and 1,238,581.13

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Solution

The third proportional to 569,467.13 and 1,238,581.13 is: 2,693,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,467.13 : 1,238,581.13 = 1,238,581.13 : x
  2. Step 2: Convert to fraction form
    569,467.13/1,238,581.13 = 1,238,581.13/x
  3. Step 3: Cross multiply
    569,467.13x = 1,238,581.13 × 1,238,581.13
  4. Step 4: Simplify right side
    569,467.13x = 1,534,083,203,206.27
  5. Step 5: Solve for x
    x = 1,534,083,203,206.27/569,467.13
  6. Step 6: Final answer
    x = 2,693,892.48

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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.