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Finding the Third Proportional to 945,533 and 1,419,267

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Solution

The third proportional to 945,533 and 1,419,267 is: 2,130,352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,533 : 1,419,267 = 1,419,267 : x
  2. Step 2: Convert to fraction form
    945,533/1,419,267 = 1,419,267/x
  3. Step 3: Cross multiply
    945,533x = 1,419,267 × 1,419,267
  4. Step 4: Simplify right side
    945,533x = 2,014,318,817,289
  5. Step 5: Solve for x
    x = 2,014,318,817,289/945,533
  6. Step 6: Final answer
    x = 2,130,352.74

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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.