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Finding the Third Proportional to 831,004 and 1,786,133

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Solution

The third proportional to 831,004 and 1,786,133 is: 3,839,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,004 : 1,786,133 = 1,786,133 : x
  2. Step 2: Convert to fraction form
    831,004/1,786,133 = 1,786,133/x
  3. Step 3: Cross multiply
    831,004x = 1,786,133 × 1,786,133
  4. Step 4: Simplify right side
    831,004x = 3,190,271,093,689
  5. Step 5: Solve for x
    x = 3,190,271,093,689/831,004
  6. Step 6: Final answer
    x = 3,839,056.24

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Why These Related Problems?

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