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Finding the Third Proportional to 1,301,632 and 2,827,150

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Solution

The third proportional to 1,301,632 and 2,827,150 is: 6,140,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,632 : 2,827,150 = 2,827,150 : x
  2. Step 2: Convert to fraction form
    1,301,632/2,827,150 = 2,827,150/x
  3. Step 3: Cross multiply
    1,301,632x = 2,827,150 × 2,827,150
  4. Step 4: Simplify right side
    1,301,632x = 7,992,777,122,500
  5. Step 5: Solve for x
    x = 7,992,777,122,500/1,301,632
  6. Step 6: Final answer
    x = 6,140,581.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.