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Finding the Third Proportional to 574,009 and 1,195,225

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Solution

The third proportional to 574,009 and 1,195,225 is: 2,488,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,009 : 1,195,225 = 1,195,225 : x
  2. Step 2: Convert to fraction form
    574,009/1,195,225 = 1,195,225/x
  3. Step 3: Cross multiply
    574,009x = 1,195,225 × 1,195,225
  4. Step 4: Simplify right side
    574,009x = 1,428,562,800,625
  5. Step 5: Solve for x
    x = 1,428,562,800,625/574,009
  6. Step 6: Final answer
    x = 2,488,746.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.