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Finding the Third Proportional to 2,657,564 and 4,122,912

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Solution

The third proportional to 2,657,564 and 4,122,912 is: 6,396,234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657,564 : 4,122,912 = 4,122,912 : x
  2. Step 2: Convert to fraction form
    2,657,564/4,122,912 = 4,122,912/x
  3. Step 3: Cross multiply
    2,657,564x = 4,122,912 × 4,122,912
  4. Step 4: Simplify right side
    2,657,564x = 16,998,403,359,744
  5. Step 5: Solve for x
    x = 16,998,403,359,744/2,657,564
  6. Step 6: Final answer
    x = 6,396,234.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.