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Finding the Third Proportional to 722,564 and 1,673,242

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Solution

The third proportional to 722,564 and 1,673,242 is: 3,874,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,564 : 1,673,242 = 1,673,242 : x
  2. Step 2: Convert to fraction form
    722,564/1,673,242 = 1,673,242/x
  3. Step 3: Cross multiply
    722,564x = 1,673,242 × 1,673,242
  4. Step 4: Simplify right side
    722,564x = 2,799,738,790,564
  5. Step 5: Solve for x
    x = 2,799,738,790,564/722,564
  6. Step 6: Final answer
    x = 3,874,727.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.