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Finding the Third Proportional to 2,889,840 and 4,500,225

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Solution

The third proportional to 2,889,840 and 4,500,225 is: 7,008,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889,840 : 4,500,225 = 4,500,225 : x
  2. Step 2: Convert to fraction form
    2,889,840/4,500,225 = 4,500,225/x
  3. Step 3: Cross multiply
    2,889,840x = 4,500,225 × 4,500,225
  4. Step 4: Simplify right side
    2,889,840x = 20,252,025,050,625
  5. Step 5: Solve for x
    x = 20,252,025,050,625/2,889,840
  6. Step 6: Final answer
    x = 7,008,009.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.