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Finding the Third Proportional to 693,646,809 and 1,002,199,815

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Solution

The third proportional to 693,646,809 and 1,002,199,815 is: 1,448,005,607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,646,809 : 1,002,199,815 = 1,002,199,815 : x
  2. Step 2: Convert to fraction form
    693,646,809/1,002,199,815 = 1,002,199,815/x
  3. Step 3: Cross multiply
    693,646,809x = 1,002,199,815 × 1,002,199,815
  4. Step 4: Simplify right side
    693,646,809x = 1,004,404,469,186,034,176
  5. Step 5: Solve for x
    x = 1,004,404,469,186,034,176/693,646,809
  6. Step 6: Final answer
    x = 1,448,005,607.69

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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.