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Finding the Third Proportional to 570,826 and 888,923

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Solution

The third proportional to 570,826 and 888,923 is: 1,384,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,826 : 888,923 = 888,923 : x
  2. Step 2: Convert to fraction form
    570,826/888,923 = 888,923/x
  3. Step 3: Cross multiply
    570,826x = 888,923 × 888,923
  4. Step 4: Simplify right side
    570,826x = 790,184,099,929
  5. Step 5: Solve for x
    x = 790,184,099,929/570,826
  6. Step 6: Final answer
    x = 1,384,281.90

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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.