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Finding the Third Proportional to 420,093 and 921,820.50

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Solution

The third proportional to 420,093 and 921,820.50 is: 2,022,773.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,093 : 921,820.50 = 921,820.50 : x
  2. Step 2: Convert to fraction form
    420,093/921,820.50 = 921,820.50/x
  3. Step 3: Cross multiply
    420,093x = 921,820.50 × 921,820.50
  4. Step 4: Simplify right side
    420,093x = 849,753,034,220.25
  5. Step 5: Solve for x
    x = 849,753,034,220.25/420,093
  6. Step 6: Final answer
    x = 2,022,773.61

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