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Finding the Third Proportional to 1,647,027 and 2,460,843

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Solution

The third proportional to 1,647,027 and 2,460,843 is: 3,676,775.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647,027 : 2,460,843 = 2,460,843 : x
  2. Step 2: Convert to fraction form
    1,647,027/2,460,843 = 2,460,843/x
  3. Step 3: Cross multiply
    1,647,027x = 2,460,843 × 2,460,843
  4. Step 4: Simplify right side
    1,647,027x = 6,055,748,270,649
  5. Step 5: Solve for x
    x = 6,055,748,270,649/1,647,027
  6. Step 6: Final answer
    x = 3,676,775.35

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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.