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Finding the Third Proportional to 497,472 and 1,086,036

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Solution

The third proportional to 497,472 and 1,086,036 is: 2,370,935.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,472 : 1,086,036 = 1,086,036 : x
  2. Step 2: Convert to fraction form
    497,472/1,086,036 = 1,086,036/x
  3. Step 3: Cross multiply
    497,472x = 1,086,036 × 1,086,036
  4. Step 4: Simplify right side
    497,472x = 1,179,474,193,296
  5. Step 5: Solve for x
    x = 1,179,474,193,296/497,472
  6. Step 6: Final answer
    x = 2,370,935.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.