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Finding the Third Proportional to 513,381,112 and 1,120,838,240

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Solution

The third proportional to 513,381,112 and 1,120,838,240 is: 2,447,067,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,381,112 : 1,120,838,240 = 1,120,838,240 : x
  2. Step 2: Convert to fraction form
    513,381,112/1,120,838,240 = 1,120,838,240/x
  3. Step 3: Cross multiply
    513,381,112x = 1,120,838,240 × 1,120,838,240
  4. Step 4: Simplify right side
    513,381,112x = 1,256,278,360,246,297,600
  5. Step 5: Solve for x
    x = 1,256,278,360,246,297,600/513,381,112
  6. Step 6: Final answer
    x = 2,447,067,745.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.