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Finding the Third Proportional to 3,202,024 and 4,869,056

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Solution

The third proportional to 3,202,024 and 4,869,056 is: 7,403,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202,024 : 4,869,056 = 4,869,056 : x
  2. Step 2: Convert to fraction form
    3,202,024/4,869,056 = 4,869,056/x
  3. Step 3: Cross multiply
    3,202,024x = 4,869,056 × 4,869,056
  4. Step 4: Simplify right side
    3,202,024x = 23,707,706,331,136
  5. Step 5: Solve for x
    x = 23,707,706,331,136/3,202,024
  6. Step 6: Final answer
    x = 7,403,975.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.