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Finding the Third Proportional to 1,227,741 and 2,678,495

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Solution

The third proportional to 1,227,741 and 2,678,495 is: 5,843,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227,741 : 2,678,495 = 2,678,495 : x
  2. Step 2: Convert to fraction form
    1,227,741/2,678,495 = 2,678,495/x
  3. Step 3: Cross multiply
    1,227,741x = 2,678,495 × 2,678,495
  4. Step 4: Simplify right side
    1,227,741x = 7,174,335,465,025
  5. Step 5: Solve for x
    x = 7,174,335,465,025/1,227,741
  6. Step 6: Final answer
    x = 5,843,525.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.