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Finding the Third Proportional to 568,795 and 1,207,574

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Solution

The third proportional to 568,795 and 1,207,574 is: 2,563,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,795 : 1,207,574 = 1,207,574 : x
  2. Step 2: Convert to fraction form
    568,795/1,207,574 = 1,207,574/x
  3. Step 3: Cross multiply
    568,795x = 1,207,574 × 1,207,574
  4. Step 4: Simplify right side
    568,795x = 1,458,234,965,476
  5. Step 5: Solve for x
    x = 1,458,234,965,476/568,795
  6. Step 6: Final answer
    x = 2,563,726.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.