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Finding the Third Proportional to 522,652 and 1,144,944

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Solution

The third proportional to 522,652 and 1,144,944 is: 2,508,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,652 : 1,144,944 = 1,144,944 : x
  2. Step 2: Convert to fraction form
    522,652/1,144,944 = 1,144,944/x
  3. Step 3: Cross multiply
    522,652x = 1,144,944 × 1,144,944
  4. Step 4: Simplify right side
    522,652x = 1,310,896,763,136
  5. Step 5: Solve for x
    x = 1,310,896,763,136/522,652
  6. Step 6: Final answer
    x = 2,508,163.68

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Why These Related Problems?

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