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Finding the Third Proportional to 569,967 and 889,458

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Solution

The third proportional to 569,967 and 889,458 is: 1,388,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,967 : 889,458 = 889,458 : x
  2. Step 2: Convert to fraction form
    569,967/889,458 = 889,458/x
  3. Step 3: Cross multiply
    569,967x = 889,458 × 889,458
  4. Step 4: Simplify right side
    569,967x = 791,135,533,764
  5. Step 5: Solve for x
    x = 791,135,533,764/569,967
  6. Step 6: Final answer
    x = 1,388,037.44

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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.