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Finding the Third Proportional to 1,232,064 and 1,843,083

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Solution

The third proportional to 1,232,064 and 1,843,083 is: 2,757,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,064 : 1,843,083 = 1,843,083 : x
  2. Step 2: Convert to fraction form
    1,232,064/1,843,083 = 1,843,083/x
  3. Step 3: Cross multiply
    1,232,064x = 1,843,083 × 1,843,083
  4. Step 4: Simplify right side
    1,232,064x = 3,396,954,944,889
  5. Step 5: Solve for x
    x = 3,396,954,944,889/1,232,064
  6. Step 6: Final answer
    x = 2,757,125.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.