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Finding the Third Proportional to 673,977 and 1,442,723

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Solution

The third proportional to 673,977 and 1,442,723 is: 3,088,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,977 : 1,442,723 = 1,442,723 : x
  2. Step 2: Convert to fraction form
    673,977/1,442,723 = 1,442,723/x
  3. Step 3: Cross multiply
    673,977x = 1,442,723 × 1,442,723
  4. Step 4: Simplify right side
    673,977x = 2,081,449,654,729
  5. Step 5: Solve for x
    x = 2,081,449,654,729/673,977
  6. Step 6: Final answer
    x = 3,088,309.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.