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Finding the Third Proportional to 657,100 and 959,813

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Solution

The third proportional to 657,100 and 959,813 is: 1,401,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,100 : 959,813 = 959,813 : x
  2. Step 2: Convert to fraction form
    657,100/959,813 = 959,813/x
  3. Step 3: Cross multiply
    657,100x = 959,813 × 959,813
  4. Step 4: Simplify right side
    657,100x = 921,240,994,969
  5. Step 5: Solve for x
    x = 921,240,994,969/657,100
  6. Step 6: Final answer
    x = 1,401,979.90

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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.