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Finding the Third Proportional to 569,946 and 889,425

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Solution

The third proportional to 569,946 and 889,425 is: 1,387,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,946 : 889,425 = 889,425 : x
  2. Step 2: Convert to fraction form
    569,946/889,425 = 889,425/x
  3. Step 3: Cross multiply
    569,946x = 889,425 × 889,425
  4. Step 4: Simplify right side
    569,946x = 791,076,830,625
  5. Step 5: Solve for x
    x = 791,076,830,625/569,946
  6. Step 6: Final answer
    x = 1,387,985.58

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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.