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Finding the Third Proportional to 1,296,571,599 and 2,839,043,646

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Solution

The third proportional to 1,296,571,599 and 2,839,043,646 is: 6,216,524,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,571,599 : 2,839,043,646 = 2,839,043,646 : x
  2. Step 2: Convert to fraction form
    1,296,571,599/2,839,043,646 = 2,839,043,646/x
  3. Step 3: Cross multiply
    1,296,571,599x = 2,839,043,646 × 2,839,043,646
  4. Step 4: Simplify right side
    1,296,571,599x = 8,060,168,823,892,973,568
  5. Step 5: Solve for x
    x = 8,060,168,823,892,973,568/1,296,571,599
  6. Step 6: Final answer
    x = 6,216,524,278.42

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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.