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Finding the Third Proportional to 673,923 and 1,465,938

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Solution

The third proportional to 673,923 and 1,465,938 is: 3,188,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,923 : 1,465,938 = 1,465,938 : x
  2. Step 2: Convert to fraction form
    673,923/1,465,938 = 1,465,938/x
  3. Step 3: Cross multiply
    673,923x = 1,465,938 × 1,465,938
  4. Step 4: Simplify right side
    673,923x = 2,148,974,219,844
  5. Step 5: Solve for x
    x = 2,148,974,219,844/673,923
  6. Step 6: Final answer
    x = 3,188,753.34

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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.