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Finding the Third Proportional to 563,879.25 and 1,215,786

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Solution

The third proportional to 563,879.25 and 1,215,786 is: 2,621,369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,879.25 : 1,215,786 = 1,215,786 : x
  2. Step 2: Convert to fraction form
    563,879.25/1,215,786 = 1,215,786/x
  3. Step 3: Cross multiply
    563,879.25x = 1,215,786 × 1,215,786
  4. Step 4: Simplify right side
    563,879.25x = 1,478,135,597,796
  5. Step 5: Solve for x
    x = 1,478,135,597,796/563,879.25
  6. Step 6: Final answer
    x = 2,621,369.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.