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Finding the Third Proportional to 2,051,233 and 3,184,364

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Solution

The third proportional to 2,051,233 and 3,184,364 is: 4,943,453.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,233 : 3,184,364 = 3,184,364 : x
  2. Step 2: Convert to fraction form
    2,051,233/3,184,364 = 3,184,364/x
  3. Step 3: Cross multiply
    2,051,233x = 3,184,364 × 3,184,364
  4. Step 4: Simplify right side
    2,051,233x = 10,140,174,084,496
  5. Step 5: Solve for x
    x = 10,140,174,084,496/2,051,233
  6. Step 6: Final answer
    x = 4,943,453.08

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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.