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Finding the Third Proportional to 4,092,457.92 and 6,419,858.77

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Solution

The third proportional to 4,092,457.92 and 6,419,858.77 is: 10,070,863.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092,457.92 : 6,419,858.77 = 6,419,858.77 : x
  2. Step 2: Convert to fraction form
    4,092,457.92/6,419,858.77 = 6,419,858.77/x
  3. Step 3: Cross multiply
    4,092,457.92x = 6,419,858.77 × 6,419,858.77
  4. Step 4: Simplify right side
    4,092,457.92x = 41,214,586,570,572.15
  5. Step 5: Solve for x
    x = 41,214,586,570,572.15/4,092,457.92
  6. Step 6: Final answer
    x = 10,070,863.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.