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Finding the Third Proportional to 2,429,761 and 5,317,152

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Solution

The third proportional to 2,429,761 and 5,317,152 is: 11,635,755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,761 : 5,317,152 = 5,317,152 : x
  2. Step 2: Convert to fraction form
    2,429,761/5,317,152 = 5,317,152/x
  3. Step 3: Cross multiply
    2,429,761x = 5,317,152 × 5,317,152
  4. Step 4: Simplify right side
    2,429,761x = 28,272,105,391,104
  5. Step 5: Solve for x
    x = 28,272,105,391,104/2,429,761
  6. Step 6: Final answer
    x = 11,635,755.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.