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Finding the Third Proportional to 561,488 and 1,227,936

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Solution

The third proportional to 561,488 and 1,227,936 is: 2,685,412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,488 : 1,227,936 = 1,227,936 : x
  2. Step 2: Convert to fraction form
    561,488/1,227,936 = 1,227,936/x
  3. Step 3: Cross multiply
    561,488x = 1,227,936 × 1,227,936
  4. Step 4: Simplify right side
    561,488x = 1,507,826,820,096
  5. Step 5: Solve for x
    x = 1,507,826,820,096/561,488
  6. Step 6: Final answer
    x = 2,685,412.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.