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Finding the Third Proportional to 1,288,206 and 2,753,559

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Solution

The third proportional to 1,288,206 and 2,753,559 is: 5,885,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,206 : 2,753,559 = 2,753,559 : x
  2. Step 2: Convert to fraction form
    1,288,206/2,753,559 = 2,753,559/x
  3. Step 3: Cross multiply
    1,288,206x = 2,753,559 × 2,753,559
  4. Step 4: Simplify right side
    1,288,206x = 7,582,087,166,481
  5. Step 5: Solve for x
    x = 7,582,087,166,481/1,288,206
  6. Step 6: Final answer
    x = 5,885,772.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.