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Finding the Third Proportional to 1,830,781 and 3,987,032

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Solution

The third proportional to 1,830,781 and 3,987,032 is: 8,682,864.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830,781 : 3,987,032 = 3,987,032 : x
  2. Step 2: Convert to fraction form
    1,830,781/3,987,032 = 3,987,032/x
  3. Step 3: Cross multiply
    1,830,781x = 3,987,032 × 3,987,032
  4. Step 4: Simplify right side
    1,830,781x = 15,896,424,169,024
  5. Step 5: Solve for x
    x = 15,896,424,169,024/1,830,781
  6. Step 6: Final answer
    x = 8,682,864.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.