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Finding the Third Proportional to 565,662.75 and 1,237,074

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Solution

The third proportional to 565,662.75 and 1,237,074 is: 2,705,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,662.75 : 1,237,074 = 1,237,074 : x
  2. Step 2: Convert to fraction form
    565,662.75/1,237,074 = 1,237,074/x
  3. Step 3: Cross multiply
    565,662.75x = 1,237,074 × 1,237,074
  4. Step 4: Simplify right side
    565,662.75x = 1,530,352,081,476
  5. Step 5: Solve for x
    x = 1,530,352,081,476/565,662.75
  6. Step 6: Final answer
    x = 2,705,414.28

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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.