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Finding the Third Proportional to 945,698 and 1,419,491

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Solution

The third proportional to 945,698 and 1,419,491 is: 2,130,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,698 : 1,419,491 = 1,419,491 : x
  2. Step 2: Convert to fraction form
    945,698/1,419,491 = 1,419,491/x
  3. Step 3: Cross multiply
    945,698x = 1,419,491 × 1,419,491
  4. Step 4: Simplify right side
    945,698x = 2,014,954,699,081
  5. Step 5: Solve for x
    x = 2,014,954,699,081/945,698
  6. Step 6: Final answer
    x = 2,130,653.44

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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.