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Finding the Third Proportional to 1,326,760 and 2,901,741

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Solution

The third proportional to 1,326,760 and 2,901,741 is: 6,346,363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326,760 : 2,901,741 = 2,901,741 : x
  2. Step 2: Convert to fraction form
    1,326,760/2,901,741 = 2,901,741/x
  3. Step 3: Cross multiply
    1,326,760x = 2,901,741 × 2,901,741
  4. Step 4: Simplify right side
    1,326,760x = 8,420,100,831,081
  5. Step 5: Solve for x
    x = 8,420,100,831,081/1,326,760
  6. Step 6: Final answer
    x = 6,346,363.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.