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Finding the Third Proportional to 514,278,736 and 776,055,192

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Solution

The third proportional to 514,278,736 and 776,055,192 is: 1,171,080,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,278,736 : 776,055,192 = 776,055,192 : x
  2. Step 2: Convert to fraction form
    514,278,736/776,055,192 = 776,055,192/x
  3. Step 3: Cross multiply
    514,278,736x = 776,055,192 × 776,055,192
  4. Step 4: Simplify right side
    514,278,736x = 602,261,661,030,156,800
  5. Step 5: Solve for x
    x = 602,261,661,030,156,800/514,278,736
  6. Step 6: Final answer
    x = 1,171,080,231.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.