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Finding the Third Proportional to 848,939 and 1,284,343

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Solution

The third proportional to 848,939 and 1,284,343 is: 1,943,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,939 : 1,284,343 = 1,284,343 : x
  2. Step 2: Convert to fraction form
    848,939/1,284,343 = 1,284,343/x
  3. Step 3: Cross multiply
    848,939x = 1,284,343 × 1,284,343
  4. Step 4: Simplify right side
    848,939x = 1,649,536,941,649
  5. Step 5: Solve for x
    x = 1,649,536,941,649/848,939
  6. Step 6: Final answer
    x = 1,943,057.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.