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Finding the Third Proportional to 450,977 and 971,722

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Solution

The third proportional to 450,977 and 971,722 is: 2,093,773.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,977 : 971,722 = 971,722 : x
  2. Step 2: Convert to fraction form
    450,977/971,722 = 971,722/x
  3. Step 3: Cross multiply
    450,977x = 971,722 × 971,722
  4. Step 4: Simplify right side
    450,977x = 944,243,645,284
  5. Step 5: Solve for x
    x = 944,243,645,284/450,977
  6. Step 6: Final answer
    x = 2,093,773.40

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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.