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Finding the Third Proportional to 450,975 and 971,718

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Solution

The third proportional to 450,975 and 971,718 is: 2,093,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,975 : 971,718 = 971,718 : x
  2. Step 2: Convert to fraction form
    450,975/971,718 = 971,718/x
  3. Step 3: Cross multiply
    450,975x = 971,718 × 971,718
  4. Step 4: Simplify right side
    450,975x = 944,235,871,524
  5. Step 5: Solve for x
    x = 944,235,871,524/450,975
  6. Step 6: Final answer
    x = 2,093,765.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.