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Finding the Third Proportional to 513,381,127 and 1,120,838,274

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Solution

The third proportional to 513,381,127 and 1,120,838,274 is: 2,447,067,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,381,127 : 1,120,838,274 = 1,120,838,274 : x
  2. Step 2: Convert to fraction form
    513,381,127/1,120,838,274 = 1,120,838,274/x
  3. Step 3: Cross multiply
    513,381,127x = 1,120,838,274 × 1,120,838,274
  4. Step 4: Simplify right side
    513,381,127x = 1,256,278,436,463,299,072
  5. Step 5: Solve for x
    x = 1,256,278,436,463,299,072/513,381,127
  6. Step 6: Final answer
    x = 2,447,067,822.31

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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.