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Finding the Third Proportional to 569,978 and 889,473

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Solution

The third proportional to 569,978 and 889,473 is: 1,388,057.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,978 : 889,473 = 889,473 : x
  2. Step 2: Convert to fraction form
    569,978/889,473 = 889,473/x
  3. Step 3: Cross multiply
    569,978x = 889,473 × 889,473
  4. Step 4: Simplify right side
    569,978x = 791,162,217,729
  5. Step 5: Solve for x
    x = 791,162,217,729/569,978
  6. Step 6: Final answer
    x = 1,388,057.46

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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.