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Finding the Third Proportional to 219,186 and 470,070

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Solution

The third proportional to 219,186 and 470,070 is: 1,008,120.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,186 : 470,070 = 470,070 : x
  2. Step 2: Convert to fraction form
    219,186/470,070 = 470,070/x
  3. Step 3: Cross multiply
    219,186x = 470,070 × 470,070
  4. Step 4: Simplify right side
    219,186x = 220,965,804,900
  5. Step 5: Solve for x
    x = 220,965,804,900/219,186
  6. Step 6: Final answer
    x = 1,008,120.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.