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Finding the Third Proportional to 2,141,898 and 4,504,682

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Solution

The third proportional to 2,141,898 and 4,504,682 is: 9,473,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,898 : 4,504,682 = 4,504,682 : x
  2. Step 2: Convert to fraction form
    2,141,898/4,504,682 = 4,504,682/x
  3. Step 3: Cross multiply
    2,141,898x = 4,504,682 × 4,504,682
  4. Step 4: Simplify right side
    2,141,898x = 20,292,159,921,124
  5. Step 5: Solve for x
    x = 20,292,159,921,124/2,141,898
  6. Step 6: Final answer
    x = 9,473,915.15

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.