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Finding the Third Proportional to 945,326 and 1,418,682

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Solution

The third proportional to 945,326 and 1,418,682 is: 2,129,063.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,326 : 1,418,682 = 1,418,682 : x
  2. Step 2: Convert to fraction form
    945,326/1,418,682 = 1,418,682/x
  3. Step 3: Cross multiply
    945,326x = 1,418,682 × 1,418,682
  4. Step 4: Simplify right side
    945,326x = 2,012,658,617,124
  5. Step 5: Solve for x
    x = 2,012,658,617,124/945,326
  6. Step 6: Final answer
    x = 2,129,063.01

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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.