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Finding the Third Proportional to 474,867 and 998,941.50

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Solution

The third proportional to 474,867 and 998,941.50 is: 2,101,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,867 : 998,941.50 = 998,941.50 : x
  2. Step 2: Convert to fraction form
    474,867/998,941.50 = 998,941.50/x
  3. Step 3: Cross multiply
    474,867x = 998,941.50 × 998,941.50
  4. Step 4: Simplify right side
    474,867x = 997,884,120,422.25
  5. Step 5: Solve for x
    x = 997,884,120,422.25/474,867
  6. Step 6: Final answer
    x = 2,101,397.07

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.