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Finding the Third Proportional to 436,926 and 948,588

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Solution

The third proportional to 436,926 and 948,588 is: 2,059,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,926 : 948,588 = 948,588 : x
  2. Step 2: Convert to fraction form
    436,926/948,588 = 948,588/x
  3. Step 3: Cross multiply
    436,926x = 948,588 × 948,588
  4. Step 4: Simplify right side
    436,926x = 899,819,193,744
  5. Step 5: Solve for x
    x = 899,819,193,744/436,926
  6. Step 6: Final answer
    x = 2,059,431.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.