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Finding the Third Proportional to 705,600 and 1,551,663

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Solution

The third proportional to 705,600 and 1,551,663 is: 3,412,213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,600 : 1,551,663 = 1,551,663 : x
  2. Step 2: Convert to fraction form
    705,600/1,551,663 = 1,551,663/x
  3. Step 3: Cross multiply
    705,600x = 1,551,663 × 1,551,663
  4. Step 4: Simplify right side
    705,600x = 2,407,658,065,569
  5. Step 5: Solve for x
    x = 2,407,658,065,569/705,600
  6. Step 6: Final answer
    x = 3,412,213.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.