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Finding the Third Proportional to 831,576 and 1,158,594.75

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Solution

The third proportional to 831,576 and 1,158,594.75 is: 1,614,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,576 : 1,158,594.75 = 1,158,594.75 : x
  2. Step 2: Convert to fraction form
    831,576/1,158,594.75 = 1,158,594.75/x
  3. Step 3: Cross multiply
    831,576x = 1,158,594.75 × 1,158,594.75
  4. Step 4: Simplify right side
    831,576x = 1,342,341,794,727.56
  5. Step 5: Solve for x
    x = 1,342,341,794,727.56/831,576
  6. Step 6: Final answer
    x = 1,614,214.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.