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Finding the Third Proportional to 1,202,165,741 and 1,839,000,322

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Solution

The third proportional to 1,202,165,741 and 1,839,000,322 is: 2,813,191,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,165,741 : 1,839,000,322 = 1,839,000,322 : x
  2. Step 2: Convert to fraction form
    1,202,165,741/1,839,000,322 = 1,839,000,322/x
  3. Step 3: Cross multiply
    1,202,165,741x = 1,839,000,322 × 1,839,000,322
  4. Step 4: Simplify right side
    1,202,165,741x = 3,381,922,184,316,103,680
  5. Step 5: Solve for x
    x = 3,381,922,184,316,103,680/1,202,165,741
  6. Step 6: Final answer
    x = 2,813,191,283.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.