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Finding the Third Proportional to 1,914,857 and 2,964,857

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Solution

The third proportional to 1,914,857 and 2,964,857 is: 4,590,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914,857 : 2,964,857 = 2,964,857 : x
  2. Step 2: Convert to fraction form
    1,914,857/2,964,857 = 2,964,857/x
  3. Step 3: Cross multiply
    1,914,857x = 2,964,857 × 2,964,857
  4. Step 4: Simplify right side
    1,914,857x = 8,790,377,030,449
  5. Step 5: Solve for x
    x = 8,790,377,030,449/1,914,857
  6. Step 6: Final answer
    x = 4,590,618.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.