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Finding the Third Proportional to 1,328,469.19 and 2,114,884.69

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Solution

The third proportional to 1,328,469.19 and 2,114,884.69 is: 3,366,835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,469.19 : 2,114,884.69 = 2,114,884.69 : x
  2. Step 2: Convert to fraction form
    1,328,469.19/2,114,884.69 = 2,114,884.69/x
  3. Step 3: Cross multiply
    1,328,469.19x = 2,114,884.69 × 2,114,884.69
  4. Step 4: Simplify right side
    1,328,469.19x = 4,472,737,241,421.97
  5. Step 5: Solve for x
    x = 4,472,737,241,421.97/1,328,469.19
  6. Step 6: Final answer
    x = 3,366,835.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.