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Finding the Third Proportional to 858,268 and 1,827,416

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Solution

The third proportional to 858,268 and 1,827,416 is: 3,890,916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,268 : 1,827,416 = 1,827,416 : x
  2. Step 2: Convert to fraction form
    858,268/1,827,416 = 1,827,416/x
  3. Step 3: Cross multiply
    858,268x = 1,827,416 × 1,827,416
  4. Step 4: Simplify right side
    858,268x = 3,339,449,237,056
  5. Step 5: Solve for x
    x = 3,339,449,237,056/858,268
  6. Step 6: Final answer
    x = 3,890,916.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.