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Finding the Third Proportional to 569,955 and 889,438

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Solution

The third proportional to 569,955 and 889,438 is: 1,388,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,955 : 889,438 = 889,438 : x
  2. Step 2: Convert to fraction form
    569,955/889,438 = 889,438/x
  3. Step 3: Cross multiply
    569,955x = 889,438 × 889,438
  4. Step 4: Simplify right side
    569,955x = 791,099,955,844
  5. Step 5: Solve for x
    x = 791,099,955,844/569,955
  6. Step 6: Final answer
    x = 1,388,004.24

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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.