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Finding the Third Proportional to 422,374.50 and 904,845.94

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Solution

The third proportional to 422,374.50 and 904,845.94 is: 1,938,436.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,374.50 : 904,845.94 = 904,845.94 : x
  2. Step 2: Convert to fraction form
    422,374.50/904,845.94 = 904,845.94/x
  3. Step 3: Cross multiply
    422,374.50x = 904,845.94 × 904,845.94
  4. Step 4: Simplify right side
    422,374.50x = 818,746,170,610.25
  5. Step 5: Solve for x
    x = 818,746,170,610.25/422,374.50
  6. Step 6: Final answer
    x = 1,938,436.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.