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Finding the Third Proportional to 673,224 and 1,451,424

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Solution

The third proportional to 673,224 and 1,451,424 is: 3,129,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,224 : 1,451,424 = 1,451,424 : x
  2. Step 2: Convert to fraction form
    673,224/1,451,424 = 1,451,424/x
  3. Step 3: Cross multiply
    673,224x = 1,451,424 × 1,451,424
  4. Step 4: Simplify right side
    673,224x = 2,106,631,627,776
  5. Step 5: Solve for x
    x = 2,106,631,627,776/673,224
  6. Step 6: Final answer
    x = 3,129,168.94

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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.