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Finding the Third Proportional to 568,648.13 and 1,225,424.25

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Solution

The third proportional to 568,648.13 and 1,225,424.25 is: 2,640,762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,648.13 : 1,225,424.25 = 1,225,424.25 : x
  2. Step 2: Convert to fraction form
    568,648.13/1,225,424.25 = 1,225,424.25/x
  3. Step 3: Cross multiply
    568,648.13x = 1,225,424.25 × 1,225,424.25
  4. Step 4: Simplify right side
    568,648.13x = 1,501,664,592,488.06
  5. Step 5: Solve for x
    x = 1,501,664,592,488.06/568,648.13
  6. Step 6: Final answer
    x = 2,640,762.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.