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Finding the Third Proportional to 538,849 and 898,044

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Solution

The third proportional to 538,849 and 898,044 is: 1,496,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,849 : 898,044 = 898,044 : x
  2. Step 2: Convert to fraction form
    538,849/898,044 = 898,044/x
  3. Step 3: Cross multiply
    538,849x = 898,044 × 898,044
  4. Step 4: Simplify right side
    538,849x = 806,483,025,936
  5. Step 5: Solve for x
    x = 806,483,025,936/538,849
  6. Step 6: Final answer
    x = 1,496,677.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.