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Finding the Third Proportional to 428,572 and 904,856

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Solution

The third proportional to 428,572 and 904,856 is: 1,910,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,572 : 904,856 = 904,856 : x
  2. Step 2: Convert to fraction form
    428,572/904,856 = 904,856/x
  3. Step 3: Cross multiply
    428,572x = 904,856 × 904,856
  4. Step 4: Simplify right side
    428,572x = 818,764,380,736
  5. Step 5: Solve for x
    x = 818,764,380,736/428,572
  6. Step 6: Final answer
    x = 1,910,447.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.