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Finding the Third Proportional to 1,233,348.40 and 2,601,658.62

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Solution

The third proportional to 1,233,348.40 and 2,601,658.62 is: 5,488,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,348.40 : 2,601,658.62 = 2,601,658.62 : x
  2. Step 2: Convert to fraction form
    1,233,348.40/2,601,658.62 = 2,601,658.62/x
  3. Step 3: Cross multiply
    1,233,348.40x = 2,601,658.62 × 2,601,658.62
  4. Step 4: Simplify right side
    1,233,348.40x = 6,768,627,560,385.98
  5. Step 5: Solve for x
    x = 6,768,627,560,385.98/1,233,348.40
  6. Step 6: Final answer
    x = 5,488,009.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.