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Finding the Third Proportional to 440,676 and 904,584

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Solution

The third proportional to 440,676 and 904,584 is: 1,856,856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,676 : 904,584 = 904,584 : x
  2. Step 2: Convert to fraction form
    440,676/904,584 = 904,584/x
  3. Step 3: Cross multiply
    440,676x = 904,584 × 904,584
  4. Step 4: Simplify right side
    440,676x = 818,272,213,056
  5. Step 5: Solve for x
    x = 818,272,213,056/440,676
  6. Step 6: Final answer
    x = 1,856,856.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.