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Finding the Third Proportional to 867,494 and 1,879,775

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Solution

The third proportional to 867,494 and 1,879,775 is: 4,073,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,494 : 1,879,775 = 1,879,775 : x
  2. Step 2: Convert to fraction form
    867,494/1,879,775 = 1,879,775/x
  3. Step 3: Cross multiply
    867,494x = 1,879,775 × 1,879,775
  4. Step 4: Simplify right side
    867,494x = 3,533,554,050,625
  5. Step 5: Solve for x
    x = 3,533,554,050,625/867,494
  6. Step 6: Final answer
    x = 4,073,289.33

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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.