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Finding the Third Proportional to 375,100 and 884,916

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Solution

The third proportional to 375,100 and 884,916 is: 2,087,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,100 : 884,916 = 884,916 : x
  2. Step 2: Convert to fraction form
    375,100/884,916 = 884,916/x
  3. Step 3: Cross multiply
    375,100x = 884,916 × 884,916
  4. Step 4: Simplify right side
    375,100x = 783,076,327,056
  5. Step 5: Solve for x
    x = 783,076,327,056/375,100
  6. Step 6: Final answer
    x = 2,087,646.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.