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Finding the Third Proportional to 492,719 and 1,059,089

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Solution

The third proportional to 492,719 and 1,059,089 is: 2,276,489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,719 : 1,059,089 = 1,059,089 : x
  2. Step 2: Convert to fraction form
    492,719/1,059,089 = 1,059,089/x
  3. Step 3: Cross multiply
    492,719x = 1,059,089 × 1,059,089
  4. Step 4: Simplify right side
    492,719x = 1,121,669,509,921
  5. Step 5: Solve for x
    x = 1,121,669,509,921/492,719
  6. Step 6: Final answer
    x = 2,276,489.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.