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Finding the Third Proportional to 509,718 and 1,108,044

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Solution

The third proportional to 509,718 and 1,108,044 is: 2,408,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,718 : 1,108,044 = 1,108,044 : x
  2. Step 2: Convert to fraction form
    509,718/1,108,044 = 1,108,044/x
  3. Step 3: Cross multiply
    509,718x = 1,108,044 × 1,108,044
  4. Step 4: Simplify right side
    509,718x = 1,227,761,505,936
  5. Step 5: Solve for x
    x = 1,227,761,505,936/509,718
  6. Step 6: Final answer
    x = 2,408,707.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.