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Finding the Third Proportional to 2,101,377.94 and 3,077,124.19

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Solution

The third proportional to 2,101,377.94 and 3,077,124.19 is: 4,505,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101,377.94 : 3,077,124.19 = 3,077,124.19 : x
  2. Step 2: Convert to fraction form
    2,101,377.94/3,077,124.19 = 3,077,124.19/x
  3. Step 3: Cross multiply
    2,101,377.94x = 3,077,124.19 × 3,077,124.19
  4. Step 4: Simplify right side
    2,101,377.94x = 9,468,693,265,297.54
  5. Step 5: Solve for x
    x = 9,468,693,265,297.54/2,101,377.94
  6. Step 6: Final answer
    x = 4,505,944.93

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.