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Finding the Third Proportional to 3,029,898 and 4,823,493

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Solution

The third proportional to 3,029,898 and 4,823,493 is: 7,678,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,898 : 4,823,493 = 4,823,493 : x
  2. Step 2: Convert to fraction form
    3,029,898/4,823,493 = 4,823,493/x
  3. Step 3: Cross multiply
    3,029,898x = 4,823,493 × 4,823,493
  4. Step 4: Simplify right side
    3,029,898x = 23,266,084,721,049
  5. Step 5: Solve for x
    x = 23,266,084,721,049/3,029,898
  6. Step 6: Final answer
    x = 7,678,834.31

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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.