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Finding the Third Proportional to 838,614 and 1,841,972

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Solution

The third proportional to 838,614 and 1,841,972 is: 4,045,795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,614 : 1,841,972 = 1,841,972 : x
  2. Step 2: Convert to fraction form
    838,614/1,841,972 = 1,841,972/x
  3. Step 3: Cross multiply
    838,614x = 1,841,972 × 1,841,972
  4. Step 4: Simplify right side
    838,614x = 3,392,860,848,784
  5. Step 5: Solve for x
    x = 3,392,860,848,784/838,614
  6. Step 6: Final answer
    x = 4,045,795.62

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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.