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Finding the Third Proportional to 673,422 and 1,453,668

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Solution

The third proportional to 673,422 and 1,453,668 is: 3,137,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,422 : 1,453,668 = 1,453,668 : x
  2. Step 2: Convert to fraction form
    673,422/1,453,668 = 1,453,668/x
  3. Step 3: Cross multiply
    673,422x = 1,453,668 × 1,453,668
  4. Step 4: Simplify right side
    673,422x = 2,113,150,654,224
  5. Step 5: Solve for x
    x = 2,113,150,654,224/673,422
  6. Step 6: Final answer
    x = 3,137,929.34

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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.