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Finding the Third Proportional to 4,576,457 and 6,208,375

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Solution

The third proportional to 4,576,457 and 6,208,375 is: 8,422,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576,457 : 6,208,375 = 6,208,375 : x
  2. Step 2: Convert to fraction form
    4,576,457/6,208,375 = 6,208,375/x
  3. Step 3: Cross multiply
    4,576,457x = 6,208,375 × 6,208,375
  4. Step 4: Simplify right side
    4,576,457x = 38,543,920,140,625
  5. Step 5: Solve for x
    x = 38,543,920,140,625/4,576,457
  6. Step 6: Final answer
    x = 8,422,218.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.