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Finding the Third Proportional to 1,683,564 and 3,682,056

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Solution

The third proportional to 1,683,564 and 3,682,056 is: 8,052,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,564 : 3,682,056 = 3,682,056 : x
  2. Step 2: Convert to fraction form
    1,683,564/3,682,056 = 3,682,056/x
  3. Step 3: Cross multiply
    1,683,564x = 3,682,056 × 3,682,056
  4. Step 4: Simplify right side
    1,683,564x = 13,557,536,387,136
  5. Step 5: Solve for x
    x = 13,557,536,387,136/1,683,564
  6. Step 6: Final answer
    x = 8,052,878.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.