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Finding the Third Proportional to 1,310,295 and 2,778,027

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Solution

The third proportional to 1,310,295 and 2,778,027 is: 5,889,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,295 : 2,778,027 = 2,778,027 : x
  2. Step 2: Convert to fraction form
    1,310,295/2,778,027 = 2,778,027/x
  3. Step 3: Cross multiply
    1,310,295x = 2,778,027 × 2,778,027
  4. Step 4: Simplify right side
    1,310,295x = 7,717,434,012,729
  5. Step 5: Solve for x
    x = 7,717,434,012,729/1,310,295
  6. Step 6: Final answer
    x = 5,889,844.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.