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Finding the Third Proportional to 568,713 and 1,237,072

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Solution

The third proportional to 568,713 and 1,237,072 is: 2,690,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,713 : 1,237,072 = 1,237,072 : x
  2. Step 2: Convert to fraction form
    568,713/1,237,072 = 1,237,072/x
  3. Step 3: Cross multiply
    568,713x = 1,237,072 × 1,237,072
  4. Step 4: Simplify right side
    568,713x = 1,530,347,133,184
  5. Step 5: Solve for x
    x = 1,530,347,133,184/568,713
  6. Step 6: Final answer
    x = 2,690,895.29

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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.