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Finding the Third Proportional to 791,898 and 1,733,454

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Solution

The third proportional to 791,898 and 1,733,454 is: 3,794,507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,898 : 1,733,454 = 1,733,454 : x
  2. Step 2: Convert to fraction form
    791,898/1,733,454 = 1,733,454/x
  3. Step 3: Cross multiply
    791,898x = 1,733,454 × 1,733,454
  4. Step 4: Simplify right side
    791,898x = 3,004,862,770,116
  5. Step 5: Solve for x
    x = 3,004,862,770,116/791,898
  6. Step 6: Final answer
    x = 3,794,507.34

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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.