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Finding the Third Proportional to 1,236,865 and 2,685,231

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Solution

The third proportional to 1,236,865 and 2,685,231 is: 5,829,630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236,865 : 2,685,231 = 2,685,231 : x
  2. Step 2: Convert to fraction form
    1,236,865/2,685,231 = 2,685,231/x
  3. Step 3: Cross multiply
    1,236,865x = 2,685,231 × 2,685,231
  4. Step 4: Simplify right side
    1,236,865x = 7,210,465,523,361
  5. Step 5: Solve for x
    x = 7,210,465,523,361/1,236,865
  6. Step 6: Final answer
    x = 5,829,630.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.