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Finding the Third Proportional to 2,032,296 and 2,972,145

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Solution

The third proportional to 2,032,296 and 2,972,145 is: 4,346,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,296 : 2,972,145 = 2,972,145 : x
  2. Step 2: Convert to fraction form
    2,032,296/2,972,145 = 2,972,145/x
  3. Step 3: Cross multiply
    2,032,296x = 2,972,145 × 2,972,145
  4. Step 4: Simplify right side
    2,032,296x = 8,833,645,901,025
  5. Step 5: Solve for x
    x = 8,833,645,901,025/2,032,296
  6. Step 6: Final answer
    x = 4,346,633.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.