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Finding the Third Proportional to 513,381,207 and 1,120,838,406

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Solution

The third proportional to 513,381,207 and 1,120,838,406 is: 2,447,068,017.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,381,207 : 1,120,838,406 = 1,120,838,406 : x
  2. Step 2: Convert to fraction form
    513,381,207/1,120,838,406 = 1,120,838,406/x
  3. Step 3: Cross multiply
    513,381,207x = 1,120,838,406 × 1,120,838,406
  4. Step 4: Simplify right side
    513,381,207x = 1,256,278,732,364,620,800
  5. Step 5: Solve for x
    x = 1,256,278,732,364,620,800/513,381,207
  6. Step 6: Final answer
    x = 2,447,068,017.36

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Why These Related Problems?

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