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Finding the Third Proportional to 3,680,166 and 5,648,733

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Solution

The third proportional to 3,680,166 and 5,648,733 is: 8,670,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680,166 : 5,648,733 = 5,648,733 : x
  2. Step 2: Convert to fraction form
    3,680,166/5,648,733 = 5,648,733/x
  3. Step 3: Cross multiply
    3,680,166x = 5,648,733 × 5,648,733
  4. Step 4: Simplify right side
    3,680,166x = 31,908,184,505,289
  5. Step 5: Solve for x
    x = 31,908,184,505,289/3,680,166
  6. Step 6: Final answer
    x = 8,670,311.20

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.