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Finding the Third Proportional to 842,286 and 1,842,036

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Solution

The third proportional to 842,286 and 1,842,036 is: 4,028,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,286 : 1,842,036 = 1,842,036 : x
  2. Step 2: Convert to fraction form
    842,286/1,842,036 = 1,842,036/x
  3. Step 3: Cross multiply
    842,286x = 1,842,036 × 1,842,036
  4. Step 4: Simplify right side
    842,286x = 3,393,096,625,296
  5. Step 5: Solve for x
    x = 3,393,096,625,296/842,286
  6. Step 6: Final answer
    x = 4,028,437.64

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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.