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Finding the Third Proportional to 450,992 and 971,752

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Solution

The third proportional to 450,992 and 971,752 is: 2,093,833.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,992 : 971,752 = 971,752 : x
  2. Step 2: Convert to fraction form
    450,992/971,752 = 971,752/x
  3. Step 3: Cross multiply
    450,992x = 971,752 × 971,752
  4. Step 4: Simplify right side
    450,992x = 944,301,949,504
  5. Step 5: Solve for x
    x = 944,301,949,504/450,992
  6. Step 6: Final answer
    x = 2,093,833.04

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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.