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Finding the Third Proportional to 219,010 and 470,756

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Solution

The third proportional to 219,010 and 470,756 is: 1,011,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,010 : 470,756 = 470,756 : x
  2. Step 2: Convert to fraction form
    219,010/470,756 = 470,756/x
  3. Step 3: Cross multiply
    219,010x = 470,756 × 470,756
  4. Step 4: Simplify right side
    219,010x = 221,611,211,536
  5. Step 5: Solve for x
    x = 221,611,211,536/219,010
  6. Step 6: Final answer
    x = 1,011,877.14

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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.