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Finding the Third Proportional to 2,678,620 and 5,622,576

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Solution

The third proportional to 2,678,620 and 5,622,576 is: 11,802,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678,620 : 5,622,576 = 5,622,576 : x
  2. Step 2: Convert to fraction form
    2,678,620/5,622,576 = 5,622,576/x
  3. Step 3: Cross multiply
    2,678,620x = 5,622,576 × 5,622,576
  4. Step 4: Simplify right side
    2,678,620x = 31,613,360,875,776
  5. Step 5: Solve for x
    x = 31,613,360,875,776/2,678,620
  6. Step 6: Final answer
    x = 11,802,107.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.