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Finding the Third Proportional to 2,051,229 and 3,184,358

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Solution

The third proportional to 2,051,229 and 3,184,358 is: 4,943,444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,229 : 3,184,358 = 3,184,358 : x
  2. Step 2: Convert to fraction form
    2,051,229/3,184,358 = 3,184,358/x
  3. Step 3: Cross multiply
    2,051,229x = 3,184,358 × 3,184,358
  4. Step 4: Simplify right side
    2,051,229x = 10,140,135,872,164
  5. Step 5: Solve for x
    x = 10,140,135,872,164/2,051,229
  6. Step 6: Final answer
    x = 4,943,444.09

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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.