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Finding the Third Proportional to 2,140,225 and 4,457,596

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Solution

The third proportional to 2,140,225 and 4,457,596 is: 9,284,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,225 : 4,457,596 = 4,457,596 : x
  2. Step 2: Convert to fraction form
    2,140,225/4,457,596 = 4,457,596/x
  3. Step 3: Cross multiply
    2,140,225x = 4,457,596 × 4,457,596
  4. Step 4: Simplify right side
    2,140,225x = 19,870,162,099,216
  5. Step 5: Solve for x
    x = 19,870,162,099,216/2,140,225
  6. Step 6: Final answer
    x = 9,284,146.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.