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Finding the Third Proportional to 569,966 and 889,452

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Solution

The third proportional to 569,966 and 889,452 is: 1,388,021.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,966 : 889,452 = 889,452 : x
  2. Step 2: Convert to fraction form
    569,966/889,452 = 889,452/x
  3. Step 3: Cross multiply
    569,966x = 889,452 × 889,452
  4. Step 4: Simplify right side
    569,966x = 791,124,860,304
  5. Step 5: Solve for x
    x = 791,124,860,304/569,966
  6. Step 6: Final answer
    x = 1,388,021.15

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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.