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Finding the Third Proportional to 831,530 and 1,254,819

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Solution

The third proportional to 831,530 and 1,254,819 is: 1,893,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,530 : 1,254,819 = 1,254,819 : x
  2. Step 2: Convert to fraction form
    831,530/1,254,819 = 1,254,819/x
  3. Step 3: Cross multiply
    831,530x = 1,254,819 × 1,254,819
  4. Step 4: Simplify right side
    831,530x = 1,574,570,722,761
  5. Step 5: Solve for x
    x = 1,574,570,722,761/831,530
  6. Step 6: Final answer
    x = 1,893,582.58

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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.