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Finding the Third Proportional to 886,023 and 1,932,403.50

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Solution

The third proportional to 886,023 and 1,932,403.50 is: 4,214,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,023 : 1,932,403.50 = 1,932,403.50 : x
  2. Step 2: Convert to fraction form
    886,023/1,932,403.50 = 1,932,403.50/x
  3. Step 3: Cross multiply
    886,023x = 1,932,403.50 × 1,932,403.50
  4. Step 4: Simplify right side
    886,023x = 3,734,183,286,812.25
  5. Step 5: Solve for x
    x = 3,734,183,286,812.25/886,023
  6. Step 6: Final answer
    x = 4,214,544.42

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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.