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Finding the Third Proportional to 219,010 and 470,761

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Solution

The third proportional to 219,010 and 470,761 is: 1,011,898.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,010 : 470,761 = 470,761 : x
  2. Step 2: Convert to fraction form
    219,010/470,761 = 470,761/x
  3. Step 3: Cross multiply
    219,010x = 470,761 × 470,761
  4. Step 4: Simplify right side
    219,010x = 221,615,919,121
  5. Step 5: Solve for x
    x = 221,615,919,121/219,010
  6. Step 6: Final answer
    x = 1,011,898.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.