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Finding the Third Proportional to 864,450 and 1,862,064

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Solution

The third proportional to 864,450 and 1,862,064 is: 4,010,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,450 : 1,862,064 = 1,862,064 : x
  2. Step 2: Convert to fraction form
    864,450/1,862,064 = 1,862,064/x
  3. Step 3: Cross multiply
    864,450x = 1,862,064 × 1,862,064
  4. Step 4: Simplify right side
    864,450x = 3,467,282,340,096
  5. Step 5: Solve for x
    x = 3,467,282,340,096/864,450
  6. Step 6: Final answer
    x = 4,010,969.22

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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.