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Finding the Third Proportional to 683,400 and 1,051,866

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Solution

The third proportional to 683,400 and 1,051,866 is: 1,618,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,400 : 1,051,866 = 1,051,866 : x
  2. Step 2: Convert to fraction form
    683,400/1,051,866 = 1,051,866/x
  3. Step 3: Cross multiply
    683,400x = 1,051,866 × 1,051,866
  4. Step 4: Simplify right side
    683,400x = 1,106,422,081,956
  5. Step 5: Solve for x
    x = 1,106,422,081,956/683,400
  6. Step 6: Final answer
    x = 1,618,996.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.