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Finding the Third Proportional to 858,842 and 1,865,671

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Solution

The third proportional to 858,842 and 1,865,671 is: 4,052,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,842 : 1,865,671 = 1,865,671 : x
  2. Step 2: Convert to fraction form
    858,842/1,865,671 = 1,865,671/x
  3. Step 3: Cross multiply
    858,842x = 1,865,671 × 1,865,671
  4. Step 4: Simplify right side
    858,842x = 3,480,728,280,241
  5. Step 5: Solve for x
    x = 3,480,728,280,241/858,842
  6. Step 6: Final answer
    x = 4,052,815.63

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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.