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Finding the Third Proportional to 3,742,216 and 5,471,250

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Solution

The third proportional to 3,742,216 and 5,471,250 is: 7,999,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742,216 : 5,471,250 = 5,471,250 : x
  2. Step 2: Convert to fraction form
    3,742,216/5,471,250 = 5,471,250/x
  3. Step 3: Cross multiply
    3,742,216x = 5,471,250 × 5,471,250
  4. Step 4: Simplify right side
    3,742,216x = 29,934,576,562,500
  5. Step 5: Solve for x
    x = 29,934,576,562,500/3,742,216
  6. Step 6: Final answer
    x = 7,999,157.87

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.