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Finding the Third Proportional to 2,051,208 and 3,184,344

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Solution

The third proportional to 2,051,208 and 3,184,344 is: 4,943,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,208 : 3,184,344 = 3,184,344 : x
  2. Step 2: Convert to fraction form
    2,051,208/3,184,344 = 3,184,344/x
  3. Step 3: Cross multiply
    2,051,208x = 3,184,344 × 3,184,344
  4. Step 4: Simplify right side
    2,051,208x = 10,140,046,710,336
  5. Step 5: Solve for x
    x = 10,140,046,710,336/2,051,208
  6. Step 6: Final answer
    x = 4,943,451.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.