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Finding the Third Proportional to 445,252,863 and 693,320,910

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Solution

The third proportional to 445,252,863 and 693,320,910 is: 1,079,597,514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,252,863 : 693,320,910 = 693,320,910 : x
  2. Step 2: Convert to fraction form
    445,252,863/693,320,910 = 693,320,910/x
  3. Step 3: Cross multiply
    445,252,863x = 693,320,910 × 693,320,910
  4. Step 4: Simplify right side
    445,252,863x = 480,693,884,243,228,096
  5. Step 5: Solve for x
    x = 480,693,884,243,228,096/445,252,863
  6. Step 6: Final answer
    x = 1,079,597,514.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.