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Finding the Third Proportional to 1,270,836 and 1,936,068

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Solution

The third proportional to 1,270,836 and 1,936,068 is: 2,949,522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,836 : 1,936,068 = 1,936,068 : x
  2. Step 2: Convert to fraction form
    1,270,836/1,936,068 = 1,936,068/x
  3. Step 3: Cross multiply
    1,270,836x = 1,936,068 × 1,936,068
  4. Step 4: Simplify right side
    1,270,836x = 3,748,359,300,624
  5. Step 5: Solve for x
    x = 3,748,359,300,624/1,270,836
  6. Step 6: Final answer
    x = 2,949,522.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.