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Finding the Third Proportional to 612,642 and 941,443

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Solution

The third proportional to 612,642 and 941,443 is: 1,446,709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,642 : 941,443 = 941,443 : x
  2. Step 2: Convert to fraction form
    612,642/941,443 = 941,443/x
  3. Step 3: Cross multiply
    612,642x = 941,443 × 941,443
  4. Step 4: Simplify right side
    612,642x = 886,314,922,249
  5. Step 5: Solve for x
    x = 886,314,922,249/612,642
  6. Step 6: Final answer
    x = 1,446,709.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.