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Finding the Third Proportional to 665,127 and 1,463,175

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Solution

The third proportional to 665,127 and 1,463,175 is: 3,218,755.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,127 : 1,463,175 = 1,463,175 : x
  2. Step 2: Convert to fraction form
    665,127/1,463,175 = 1,463,175/x
  3. Step 3: Cross multiply
    665,127x = 1,463,175 × 1,463,175
  4. Step 4: Simplify right side
    665,127x = 2,140,881,080,625
  5. Step 5: Solve for x
    x = 2,140,881,080,625/665,127
  6. Step 6: Final answer
    x = 3,218,755.34

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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.