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Finding the Third Proportional to 1,145,520 and 2,262,123

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Solution

The third proportional to 1,145,520 and 2,262,123 is: 4,467,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145,520 : 2,262,123 = 2,262,123 : x
  2. Step 2: Convert to fraction form
    1,145,520/2,262,123 = 2,262,123/x
  3. Step 3: Cross multiply
    1,145,520x = 2,262,123 × 2,262,123
  4. Step 4: Simplify right side
    1,145,520x = 5,117,200,467,129
  5. Step 5: Solve for x
    x = 5,117,200,467,129/1,145,520
  6. Step 6: Final answer
    x = 4,467,141.97

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.