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Finding the Third Proportional to 501,231 and 1,102,158

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Solution

The third proportional to 501,231 and 1,102,158 is: 2,423,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,231 : 1,102,158 = 1,102,158 : x
  2. Step 2: Convert to fraction form
    501,231/1,102,158 = 1,102,158/x
  3. Step 3: Cross multiply
    501,231x = 1,102,158 × 1,102,158
  4. Step 4: Simplify right side
    501,231x = 1,214,752,256,964
  5. Step 5: Solve for x
    x = 1,214,752,256,964/501,231
  6. Step 6: Final answer
    x = 2,423,537.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.