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Finding the Third Proportional to 945,362 and 1,418,745

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Solution

The third proportional to 945,362 and 1,418,745 is: 2,129,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,362 : 1,418,745 = 1,418,745 : x
  2. Step 2: Convert to fraction form
    945,362/1,418,745 = 1,418,745/x
  3. Step 3: Cross multiply
    945,362x = 1,418,745 × 1,418,745
  4. Step 4: Simplify right side
    945,362x = 2,012,837,375,025
  5. Step 5: Solve for x
    x = 2,012,837,375,025/945,362
  6. Step 6: Final answer
    x = 2,129,171.02

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