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Finding the Third Proportional to 858,606 and 1,864,704

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Solution

The third proportional to 858,606 and 1,864,704 is: 4,049,728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,606 : 1,864,704 = 1,864,704 : x
  2. Step 2: Convert to fraction form
    858,606/1,864,704 = 1,864,704/x
  3. Step 3: Cross multiply
    858,606x = 1,864,704 × 1,864,704
  4. Step 4: Simplify right side
    858,606x = 3,477,121,007,616
  5. Step 5: Solve for x
    x = 3,477,121,007,616/858,606
  6. Step 6: Final answer
    x = 4,049,728.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.