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Finding the Third Proportional to 838,605.38 and 1,841,954.63

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Solution

The third proportional to 838,605.38 and 1,841,954.63 is: 4,045,760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,605.38 : 1,841,954.63 = 1,841,954.63 : x
  2. Step 2: Convert to fraction form
    838,605.38/1,841,954.63 = 1,841,954.63/x
  3. Step 3: Cross multiply
    838,605.38x = 1,841,954.63 × 1,841,954.63
  4. Step 4: Simplify right side
    838,605.38x = 3,392,796,840,558.89
  5. Step 5: Solve for x
    x = 3,392,796,840,558.89/838,605.38
  6. Step 6: Final answer
    x = 4,045,760.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.