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Finding the Third Proportional to 674,070 and 1,467,159

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Solution

The third proportional to 674,070 and 1,467,159 is: 3,193,370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,070 : 1,467,159 = 1,467,159 : x
  2. Step 2: Convert to fraction form
    674,070/1,467,159 = 1,467,159/x
  3. Step 3: Cross multiply
    674,070x = 1,467,159 × 1,467,159
  4. Step 4: Simplify right side
    674,070x = 2,152,555,531,281
  5. Step 5: Solve for x
    x = 2,152,555,531,281/674,070
  6. Step 6: Final answer
    x = 3,193,370.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.