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Finding the Third Proportional to 569,934 and 889,407

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Solution

The third proportional to 569,934 and 889,407 is: 1,387,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,934 : 889,407 = 889,407 : x
  2. Step 2: Convert to fraction form
    569,934/889,407 = 889,407/x
  3. Step 3: Cross multiply
    569,934x = 889,407 × 889,407
  4. Step 4: Simplify right side
    569,934x = 791,044,811,649
  5. Step 5: Solve for x
    x = 791,044,811,649/569,934
  6. Step 6: Final answer
    x = 1,387,958.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.