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Finding the Third Proportional to 2,914,976 and 6,403,864

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Solution

The third proportional to 2,914,976 and 6,403,864 is: 14,068,546.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914,976 : 6,403,864 = 6,403,864 : x
  2. Step 2: Convert to fraction form
    2,914,976/6,403,864 = 6,403,864/x
  3. Step 3: Cross multiply
    2,914,976x = 6,403,864 × 6,403,864
  4. Step 4: Simplify right side
    2,914,976x = 41,009,474,130,496
  5. Step 5: Solve for x
    x = 41,009,474,130,496/2,914,976
  6. Step 6: Final answer
    x = 14,068,546.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.