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Finding the Third Proportional to 1,302,236 and 2,704,272

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Solution

The third proportional to 1,302,236 and 2,704,272 is: 5,615,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,236 : 2,704,272 = 2,704,272 : x
  2. Step 2: Convert to fraction form
    1,302,236/2,704,272 = 2,704,272/x
  3. Step 3: Cross multiply
    1,302,236x = 2,704,272 × 2,704,272
  4. Step 4: Simplify right side
    1,302,236x = 7,313,087,049,984
  5. Step 5: Solve for x
    x = 7,313,087,049,984/1,302,236
  6. Step 6: Final answer
    x = 5,615,792.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.