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Finding the Third Proportional to 673,344 and 1,451,640

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Solution

The third proportional to 673,344 and 1,451,640 is: 3,129,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,344 : 1,451,640 = 1,451,640 : x
  2. Step 2: Convert to fraction form
    673,344/1,451,640 = 1,451,640/x
  3. Step 3: Cross multiply
    673,344x = 1,451,640 × 1,451,640
  4. Step 4: Simplify right side
    673,344x = 2,107,258,689,600
  5. Step 5: Solve for x
    x = 2,107,258,689,600/673,344
  6. Step 6: Final answer
    x = 3,129,542.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.