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Finding the Third Proportional to 415,592 and 894,740

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Solution

The third proportional to 415,592 and 894,740 is: 1,926,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,592 : 894,740 = 894,740 : x
  2. Step 2: Convert to fraction form
    415,592/894,740 = 894,740/x
  3. Step 3: Cross multiply
    415,592x = 894,740 × 894,740
  4. Step 4: Simplify right side
    415,592x = 800,559,667,600
  5. Step 5: Solve for x
    x = 800,559,667,600/415,592
  6. Step 6: Final answer
    x = 1,926,311.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.