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Finding the Third Proportional to 673,937 and 1,465,965

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Solution

The third proportional to 673,937 and 1,465,965 is: 3,188,804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,937 : 1,465,965 = 1,465,965 : x
  2. Step 2: Convert to fraction form
    673,937/1,465,965 = 1,465,965/x
  3. Step 3: Cross multiply
    673,937x = 1,465,965 × 1,465,965
  4. Step 4: Simplify right side
    673,937x = 2,149,053,381,225
  5. Step 5: Solve for x
    x = 2,149,053,381,225/673,937
  6. Step 6: Final answer
    x = 3,188,804.56

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Why These Related Problems?

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