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Finding the Third Proportional to 589,784 and 889,563

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Solution

The third proportional to 589,784 and 889,563 is: 1,341,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,784 : 889,563 = 889,563 : x
  2. Step 2: Convert to fraction form
    589,784/889,563 = 889,563/x
  3. Step 3: Cross multiply
    589,784x = 889,563 × 889,563
  4. Step 4: Simplify right side
    589,784x = 791,322,330,969
  5. Step 5: Solve for x
    x = 791,322,330,969/589,784
  6. Step 6: Final answer
    x = 1,341,715.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.