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Finding the Third Proportional to 673,785 and 1,474,173

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Solution

The third proportional to 673,785 and 1,474,173 is: 3,225,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,785 : 1,474,173 = 1,474,173 : x
  2. Step 2: Convert to fraction form
    673,785/1,474,173 = 1,474,173/x
  3. Step 3: Cross multiply
    673,785x = 1,474,173 × 1,474,173
  4. Step 4: Simplify right side
    673,785x = 2,173,186,033,929
  5. Step 5: Solve for x
    x = 2,173,186,033,929/673,785
  6. Step 6: Final answer
    x = 3,225,340.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.