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Finding the Third Proportional to 2,326,569 and 3,475,962

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Solution

The third proportional to 2,326,569 and 3,475,962 is: 5,193,188.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326,569 : 3,475,962 = 3,475,962 : x
  2. Step 2: Convert to fraction form
    2,326,569/3,475,962 = 3,475,962/x
  3. Step 3: Cross multiply
    2,326,569x = 3,475,962 × 3,475,962
  4. Step 4: Simplify right side
    2,326,569x = 12,082,311,825,444
  5. Step 5: Solve for x
    x = 12,082,311,825,444/2,326,569
  6. Step 6: Final answer
    x = 5,193,188.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.