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Finding the Third Proportional to 590,467 and 1,293,212

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Solution

The third proportional to 590,467 and 1,293,212 is: 2,832,329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,467 : 1,293,212 = 1,293,212 : x
  2. Step 2: Convert to fraction form
    590,467/1,293,212 = 1,293,212/x
  3. Step 3: Cross multiply
    590,467x = 1,293,212 × 1,293,212
  4. Step 4: Simplify right side
    590,467x = 1,672,397,276,944
  5. Step 5: Solve for x
    x = 1,672,397,276,944/590,467
  6. Step 6: Final answer
    x = 2,832,329.79

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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.