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Finding the Third Proportional to 393,868 and 859,024

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Solution

The third proportional to 393,868 and 859,024 is: 1,873,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,868 : 859,024 = 859,024 : x
  2. Step 2: Convert to fraction form
    393,868/859,024 = 859,024/x
  3. Step 3: Cross multiply
    393,868x = 859,024 × 859,024
  4. Step 4: Simplify right side
    393,868x = 737,922,232,576
  5. Step 5: Solve for x
    x = 737,922,232,576/393,868
  6. Step 6: Final answer
    x = 1,873,526.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.