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Finding the Third Proportional to 578,532 and 889,826

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Solution

The third proportional to 578,532 and 889,826 is: 1,368,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,532 : 889,826 = 889,826 : x
  2. Step 2: Convert to fraction form
    578,532/889,826 = 889,826/x
  3. Step 3: Cross multiply
    578,532x = 889,826 × 889,826
  4. Step 4: Simplify right side
    578,532x = 791,790,310,276
  5. Step 5: Solve for x
    x = 791,790,310,276/578,532
  6. Step 6: Final answer
    x = 1,368,619.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.