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Finding the Third Proportional to 568,045 and 1,224,657

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Solution

The third proportional to 568,045 and 1,224,657 is: 2,640,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,045 : 1,224,657 = 1,224,657 : x
  2. Step 2: Convert to fraction form
    568,045/1,224,657 = 1,224,657/x
  3. Step 3: Cross multiply
    568,045x = 1,224,657 × 1,224,657
  4. Step 4: Simplify right side
    568,045x = 1,499,784,767,649
  5. Step 5: Solve for x
    x = 1,499,784,767,649/568,045
  6. Step 6: Final answer
    x = 2,640,256.96

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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.