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Finding the Third Proportional to 771,455,512 and 1,690,295,598

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Solution

The third proportional to 771,455,512 and 1,690,295,598 is: 3,703,517,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,455,512 : 1,690,295,598 = 1,690,295,598 : x
  2. Step 2: Convert to fraction form
    771,455,512/1,690,295,598 = 1,690,295,598/x
  3. Step 3: Cross multiply
    771,455,512x = 1,690,295,598 × 1,690,295,598
  4. Step 4: Simplify right side
    771,455,512x = 2,857,099,208,618,177,536
  5. Step 5: Solve for x
    x = 2,857,099,208,618,177,536/771,455,512
  6. Step 6: Final answer
    x = 3,703,517,784.47

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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.