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Finding the Third Proportional to 693,646,803.28 and 1,002,199,846.36

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Solution

The third proportional to 693,646,803.28 and 1,002,199,846.36 is: 1,448,005,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,646,803.28 : 1,002,199,846.36 = 1,002,199,846.36 : x
  2. Step 2: Convert to fraction form
    693,646,803.28/1,002,199,846.36 = 1,002,199,846.36/x
  3. Step 3: Cross multiply
    693,646,803.28x = 1,002,199,846.36 × 1,002,199,846.36
  4. Step 4: Simplify right side
    693,646,803.28x = 1,004,404,532,042,804,992
  5. Step 5: Solve for x
    x = 1,004,404,532,042,804,992/693,646,803.28
  6. Step 6: Final answer
    x = 1,448,005,710.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.