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Finding the Third Proportional to 2,051,221 and 3,184,346

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Solution

The third proportional to 2,051,221 and 3,184,346 is: 4,943,426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,221 : 3,184,346 = 3,184,346 : x
  2. Step 2: Convert to fraction form
    2,051,221/3,184,346 = 3,184,346/x
  3. Step 3: Cross multiply
    2,051,221x = 3,184,346 × 3,184,346
  4. Step 4: Simplify right side
    2,051,221x = 10,140,059,447,716
  5. Step 5: Solve for x
    x = 10,140,059,447,716/2,051,221
  6. Step 6: Final answer
    x = 4,943,426.11

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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.