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Finding the Third Proportional to 838,782 and 1,795,114

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Solution

The third proportional to 838,782 and 1,795,114 is: 3,841,801.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,782 : 1,795,114 = 1,795,114 : x
  2. Step 2: Convert to fraction form
    838,782/1,795,114 = 1,795,114/x
  3. Step 3: Cross multiply
    838,782x = 1,795,114 × 1,795,114
  4. Step 4: Simplify right side
    838,782x = 3,222,434,272,996
  5. Step 5: Solve for x
    x = 3,222,434,272,996/838,782
  6. Step 6: Final answer
    x = 3,841,801.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.