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Finding the Third Proportional to 564,012 and 1,231,704

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Solution

The third proportional to 564,012 and 1,231,704 is: 2,689,827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,012 : 1,231,704 = 1,231,704 : x
  2. Step 2: Convert to fraction form
    564,012/1,231,704 = 1,231,704/x
  3. Step 3: Cross multiply
    564,012x = 1,231,704 × 1,231,704
  4. Step 4: Simplify right side
    564,012x = 1,517,094,743,616
  5. Step 5: Solve for x
    x = 1,517,094,743,616/564,012
  6. Step 6: Final answer
    x = 2,689,827.07

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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.