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Finding the Third Proportional to 1,640,238 and 2,208,086

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Solution

The third proportional to 1,640,238 and 2,208,086 is: 2,972,522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,238 : 2,208,086 = 2,208,086 : x
  2. Step 2: Convert to fraction form
    1,640,238/2,208,086 = 2,208,086/x
  3. Step 3: Cross multiply
    1,640,238x = 2,208,086 × 2,208,086
  4. Step 4: Simplify right side
    1,640,238x = 4,875,643,783,396
  5. Step 5: Solve for x
    x = 4,875,643,783,396/1,640,238
  6. Step 6: Final answer
    x = 2,972,522.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.