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Finding the Third Proportional to 579,218 and 848,123

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Solution

The third proportional to 579,218 and 848,123 is: 1,241,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,218 : 848,123 = 848,123 : x
  2. Step 2: Convert to fraction form
    579,218/848,123 = 848,123/x
  3. Step 3: Cross multiply
    579,218x = 848,123 × 848,123
  4. Step 4: Simplify right side
    579,218x = 719,312,623,129
  5. Step 5: Solve for x
    x = 719,312,623,129/579,218
  6. Step 6: Final answer
    x = 1,241,868.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.