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Finding the Third Proportional to 2,305,898 and 3,664,139

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Solution

The third proportional to 2,305,898 and 3,664,139 is: 5,822,423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,898 : 3,664,139 = 3,664,139 : x
  2. Step 2: Convert to fraction form
    2,305,898/3,664,139 = 3,664,139/x
  3. Step 3: Cross multiply
    2,305,898x = 3,664,139 × 3,664,139
  4. Step 4: Simplify right side
    2,305,898x = 13,425,914,611,321
  5. Step 5: Solve for x
    x = 13,425,914,611,321/2,305,898
  6. Step 6: Final answer
    x = 5,822,423.46

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.