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Finding the Third Proportional to 422,172 and 896,160

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Solution

The third proportional to 422,172 and 896,160 is: 1,902,311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,172 : 896,160 = 896,160 : x
  2. Step 2: Convert to fraction form
    422,172/896,160 = 896,160/x
  3. Step 3: Cross multiply
    422,172x = 896,160 × 896,160
  4. Step 4: Simplify right side
    422,172x = 803,102,745,600
  5. Step 5: Solve for x
    x = 803,102,745,600/422,172
  6. Step 6: Final answer
    x = 1,902,311.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.