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Finding the Third Proportional to 2,091,826 and 2,945,687

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Solution

The third proportional to 2,091,826 and 2,945,687 is: 4,148,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091,826 : 2,945,687 = 2,945,687 : x
  2. Step 2: Convert to fraction form
    2,091,826/2,945,687 = 2,945,687/x
  3. Step 3: Cross multiply
    2,091,826x = 2,945,687 × 2,945,687
  4. Step 4: Simplify right side
    2,091,826x = 8,677,071,901,969
  5. Step 5: Solve for x
    x = 8,677,071,901,969/2,091,826
  6. Step 6: Final answer
    x = 4,148,084.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.