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Finding the Third Proportional to 848,431 and 1,186,788

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Solution

The third proportional to 848,431 and 1,186,788 is: 1,660,082.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,431 : 1,186,788 = 1,186,788 : x
  2. Step 2: Convert to fraction form
    848,431/1,186,788 = 1,186,788/x
  3. Step 3: Cross multiply
    848,431x = 1,186,788 × 1,186,788
  4. Step 4: Simplify right side
    848,431x = 1,408,465,756,944
  5. Step 5: Solve for x
    x = 1,408,465,756,944/848,431
  6. Step 6: Final answer
    x = 1,660,082.86

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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.