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Finding the Third Proportional to 1,302,727 and 2,870,489

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Solution

The third proportional to 1,302,727 and 2,870,489 is: 6,324,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,727 : 2,870,489 = 2,870,489 : x
  2. Step 2: Convert to fraction form
    1,302,727/2,870,489 = 2,870,489/x
  3. Step 3: Cross multiply
    1,302,727x = 2,870,489 × 2,870,489
  4. Step 4: Simplify right side
    1,302,727x = 8,239,707,099,121
  5. Step 5: Solve for x
    x = 8,239,707,099,121/1,302,727
  6. Step 6: Final answer
    x = 6,324,968.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.