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Finding the Third Proportional to 848,431.69 and 1,186,788.94

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Solution

The third proportional to 848,431.69 and 1,186,788.94 is: 1,660,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,431.69 : 1,186,788.94 = 1,186,788.94 : x
  2. Step 2: Convert to fraction form
    848,431.69/1,186,788.94 = 1,186,788.94/x
  3. Step 3: Cross multiply
    848,431.69x = 1,186,788.94 × 1,186,788.94
  4. Step 4: Simplify right side
    848,431.69x = 1,408,467,982,172.38
  5. Step 5: Solve for x
    x = 1,408,467,982,172.38/848,431.69
  6. Step 6: Final answer
    x = 1,660,084.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.