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Finding the Third Proportional to 579,606 and 852,083

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Solution

The third proportional to 579,606 and 852,083 is: 1,252,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,606 : 852,083 = 852,083 : x
  2. Step 2: Convert to fraction form
    579,606/852,083 = 852,083/x
  3. Step 3: Cross multiply
    579,606x = 852,083 × 852,083
  4. Step 4: Simplify right side
    579,606x = 726,045,438,889
  5. Step 5: Solve for x
    x = 726,045,438,889/579,606
  6. Step 6: Final answer
    x = 1,252,653.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.