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Finding the Third Proportional to 604,676 and 893,172

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Solution

The third proportional to 604,676 and 893,172 is: 1,319,311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,676 : 893,172 = 893,172 : x
  2. Step 2: Convert to fraction form
    604,676/893,172 = 893,172/x
  3. Step 3: Cross multiply
    604,676x = 893,172 × 893,172
  4. Step 4: Simplify right side
    604,676x = 797,756,221,584
  5. Step 5: Solve for x
    x = 797,756,221,584/604,676
  6. Step 6: Final answer
    x = 1,319,311.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.