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Finding the Third Proportional to 2,090,898 and 4,294,350

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Solution

The third proportional to 2,090,898 and 4,294,350 is: 8,819,866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090,898 : 4,294,350 = 4,294,350 : x
  2. Step 2: Convert to fraction form
    2,090,898/4,294,350 = 4,294,350/x
  3. Step 3: Cross multiply
    2,090,898x = 4,294,350 × 4,294,350
  4. Step 4: Simplify right side
    2,090,898x = 18,441,441,922,500
  5. Step 5: Solve for x
    x = 18,441,441,922,500/2,090,898
  6. Step 6: Final answer
    x = 8,819,866.83

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.