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Finding the Third Proportional to 568,169 and 1,262,458

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Solution

The third proportional to 568,169 and 1,262,458 is: 2,805,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,169 : 1,262,458 = 1,262,458 : x
  2. Step 2: Convert to fraction form
    568,169/1,262,458 = 1,262,458/x
  3. Step 3: Cross multiply
    568,169x = 1,262,458 × 1,262,458
  4. Step 4: Simplify right side
    568,169x = 1,593,800,201,764
  5. Step 5: Solve for x
    x = 1,593,800,201,764/568,169
  6. Step 6: Final answer
    x = 2,805,151.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.