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Finding the Third Proportional to 657,165 and 959,898

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Solution

The third proportional to 657,165 and 959,898 is: 1,402,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,165 : 959,898 = 959,898 : x
  2. Step 2: Convert to fraction form
    657,165/959,898 = 959,898/x
  3. Step 3: Cross multiply
    657,165x = 959,898 × 959,898
  4. Step 4: Simplify right side
    657,165x = 921,404,170,404
  5. Step 5: Solve for x
    x = 921,404,170,404/657,165
  6. Step 6: Final answer
    x = 1,402,089.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.