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Finding the Third Proportional to 2,051,225 and 3,184,352

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Solution

The third proportional to 2,051,225 and 3,184,352 is: 4,943,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,225 : 3,184,352 = 3,184,352 : x
  2. Step 2: Convert to fraction form
    2,051,225/3,184,352 = 3,184,352/x
  3. Step 3: Cross multiply
    2,051,225x = 3,184,352 × 3,184,352
  4. Step 4: Simplify right side
    2,051,225x = 10,140,097,659,904
  5. Step 5: Solve for x
    x = 10,140,097,659,904/2,051,225
  6. Step 6: Final answer
    x = 4,943,435.10

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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.