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Finding the Third Proportional to 665,220 and 1,463,360

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Solution

The third proportional to 665,220 and 1,463,360 is: 3,219,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,220 : 1,463,360 = 1,463,360 : x
  2. Step 2: Convert to fraction form
    665,220/1,463,360 = 1,463,360/x
  3. Step 3: Cross multiply
    665,220x = 1,463,360 × 1,463,360
  4. Step 4: Simplify right side
    665,220x = 2,141,422,489,600
  5. Step 5: Solve for x
    x = 2,141,422,489,600/665,220
  6. Step 6: Final answer
    x = 3,219,119.22

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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.