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Finding the Third Proportional to 568,038 and 1,224,649.50

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Solution

The third proportional to 568,038 and 1,224,649.50 is: 2,640,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,038 : 1,224,649.50 = 1,224,649.50 : x
  2. Step 2: Convert to fraction form
    568,038/1,224,649.50 = 1,224,649.50/x
  3. Step 3: Cross multiply
    568,038x = 1,224,649.50 × 1,224,649.50
  4. Step 4: Simplify right side
    568,038x = 1,499,766,397,850.25
  5. Step 5: Solve for x
    x = 1,499,766,397,850.25/568,038
  6. Step 6: Final answer
    x = 2,640,257.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.