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Finding the Third Proportional to 1,388,742 and 2,164,305

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Solution

The third proportional to 1,388,742 and 2,164,305 is: 3,372,992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388,742 : 2,164,305 = 2,164,305 : x
  2. Step 2: Convert to fraction form
    1,388,742/2,164,305 = 2,164,305/x
  3. Step 3: Cross multiply
    1,388,742x = 2,164,305 × 2,164,305
  4. Step 4: Simplify right side
    1,388,742x = 4,684,216,133,025
  5. Step 5: Solve for x
    x = 4,684,216,133,025/1,388,742
  6. Step 6: Final answer
    x = 3,372,992.34

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