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Finding the Third Proportional to 1,302,714 and 2,870,469

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Solution

The third proportional to 1,302,714 and 2,870,469 is: 6,324,943.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,714 : 2,870,469 = 2,870,469 : x
  2. Step 2: Convert to fraction form
    1,302,714/2,870,469 = 2,870,469/x
  3. Step 3: Cross multiply
    1,302,714x = 2,870,469 × 2,870,469
  4. Step 4: Simplify right side
    1,302,714x = 8,239,592,279,961
  5. Step 5: Solve for x
    x = 8,239,592,279,961/1,302,714
  6. Step 6: Final answer
    x = 6,324,943.37

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