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Finding the Third Proportional to 431,704 and 942,018

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Solution

The third proportional to 431,704 and 942,018 is: 2,055,570.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,704 : 942,018 = 942,018 : x
  2. Step 2: Convert to fraction form
    431,704/942,018 = 942,018/x
  3. Step 3: Cross multiply
    431,704x = 942,018 × 942,018
  4. Step 4: Simplify right side
    431,704x = 887,397,912,324
  5. Step 5: Solve for x
    x = 887,397,912,324/431,704
  6. Step 6: Final answer
    x = 2,055,570.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.