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Finding the Third Proportional to 422,104.50 and 924,256.41

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Solution

The third proportional to 422,104.50 and 924,256.41 is: 2,023,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,104.50 : 924,256.41 = 924,256.41 : x
  2. Step 2: Convert to fraction form
    422,104.50/924,256.41 = 924,256.41/x
  3. Step 3: Cross multiply
    422,104.50x = 924,256.41 × 924,256.41
  4. Step 4: Simplify right side
    422,104.50x = 854,249,904,494.17
  5. Step 5: Solve for x
    x = 854,249,904,494.17/422,104.50
  6. Step 6: Final answer
    x = 2,023,787.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.