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Finding the Third Proportional to 673,399 and 1,453,624

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Solution

The third proportional to 673,399 and 1,453,624 is: 3,137,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,399 : 1,453,624 = 1,453,624 : x
  2. Step 2: Convert to fraction form
    673,399/1,453,624 = 1,453,624/x
  3. Step 3: Cross multiply
    673,399x = 1,453,624 × 1,453,624
  4. Step 4: Simplify right side
    673,399x = 2,113,022,733,376
  5. Step 5: Solve for x
    x = 2,113,022,733,376/673,399
  6. Step 6: Final answer
    x = 3,137,846.56

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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.