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Finding the Third Proportional to 422,133.19 and 924,580.13

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Solution

The third proportional to 422,133.19 and 924,580.13 is: 2,025,067.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,133.19 : 924,580.13 = 924,580.13 : x
  2. Step 2: Convert to fraction form
    422,133.19/924,580.13 = 924,580.13/x
  3. Step 3: Cross multiply
    422,133.19x = 924,580.13 × 924,580.13
  4. Step 4: Simplify right side
    422,133.19x = 854,848,407,545.02
  5. Step 5: Solve for x
    x = 854,848,407,545.02/422,133.19
  6. Step 6: Final answer
    x = 2,025,067.99

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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.