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Finding the Third Proportional to 569,736 and 1,228,032

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Solution

The third proportional to 569,736 and 1,228,032 is: 2,646,949.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,736 : 1,228,032 = 1,228,032 : x
  2. Step 2: Convert to fraction form
    569,736/1,228,032 = 1,228,032/x
  3. Step 3: Cross multiply
    569,736x = 1,228,032 × 1,228,032
  4. Step 4: Simplify right side
    569,736x = 1,508,062,593,024
  5. Step 5: Solve for x
    x = 1,508,062,593,024/569,736
  6. Step 6: Final answer
    x = 2,646,949.80

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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.