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Finding the Third Proportional to 2,081,864 and 3,105,518

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Solution

The third proportional to 2,081,864 and 3,105,518 is: 4,632,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,864 : 3,105,518 = 3,105,518 : x
  2. Step 2: Convert to fraction form
    2,081,864/3,105,518 = 3,105,518/x
  3. Step 3: Cross multiply
    2,081,864x = 3,105,518 × 3,105,518
  4. Step 4: Simplify right side
    2,081,864x = 9,644,242,048,324
  5. Step 5: Solve for x
    x = 9,644,242,048,324/2,081,864
  6. Step 6: Final answer
    x = 4,632,503.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.