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Finding the Third Proportional to 1,651,184 and 2,325,225

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Solution

The third proportional to 1,651,184 and 2,325,225 is: 3,274,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651,184 : 2,325,225 = 2,325,225 : x
  2. Step 2: Convert to fraction form
    1,651,184/2,325,225 = 2,325,225/x
  3. Step 3: Cross multiply
    1,651,184x = 2,325,225 × 2,325,225
  4. Step 4: Simplify right side
    1,651,184x = 5,406,671,300,625
  5. Step 5: Solve for x
    x = 5,406,671,300,625/1,651,184
  6. Step 6: Final answer
    x = 3,274,420.84

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.