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Finding the Third Proportional to 570,814 and 888,903

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Solution

The third proportional to 570,814 and 888,903 is: 1,384,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,814 : 888,903 = 888,903 : x
  2. Step 2: Convert to fraction form
    570,814/888,903 = 888,903/x
  3. Step 3: Cross multiply
    570,814x = 888,903 × 888,903
  4. Step 4: Simplify right side
    570,814x = 790,148,543,409
  5. Step 5: Solve for x
    x = 790,148,543,409/570,814
  6. Step 6: Final answer
    x = 1,384,248.71

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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.