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Finding the Third Proportional to 1,409,608 and 2,147,457

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Solution

The third proportional to 1,409,608 and 2,147,457 is: 3,271,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,608 : 2,147,457 = 2,147,457 : x
  2. Step 2: Convert to fraction form
    1,409,608/2,147,457 = 2,147,457/x
  3. Step 3: Cross multiply
    1,409,608x = 2,147,457 × 2,147,457
  4. Step 4: Simplify right side
    1,409,608x = 4,611,571,566,849
  5. Step 5: Solve for x
    x = 4,611,571,566,849/1,409,608
  6. Step 6: Final answer
    x = 3,271,527.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.