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Finding the Third Proportional to 1,397,580 and 2,109,660

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Solution

The third proportional to 1,397,580 and 2,109,660 is: 3,184,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,580 : 2,109,660 = 2,109,660 : x
  2. Step 2: Convert to fraction form
    1,397,580/2,109,660 = 2,109,660/x
  3. Step 3: Cross multiply
    1,397,580x = 2,109,660 × 2,109,660
  4. Step 4: Simplify right side
    1,397,580x = 4,450,665,315,600
  5. Step 5: Solve for x
    x = 4,450,665,315,600/1,397,580
  6. Step 6: Final answer
    x = 3,184,551.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.