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Finding the Third Proportional to 1,132,214 and 1,651,647

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Solution

The third proportional to 1,132,214 and 1,651,647 is: 2,409,383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132,214 : 1,651,647 = 1,651,647 : x
  2. Step 2: Convert to fraction form
    1,132,214/1,651,647 = 1,651,647/x
  3. Step 3: Cross multiply
    1,132,214x = 1,651,647 × 1,651,647
  4. Step 4: Simplify right side
    1,132,214x = 2,727,937,812,609
  5. Step 5: Solve for x
    x = 2,727,937,812,609/1,132,214
  6. Step 6: Final answer
    x = 2,409,383.57

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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.