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Finding the Third Proportional to 450,984 and 971,736

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Solution

The third proportional to 450,984 and 971,736 is: 2,093,801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,984 : 971,736 = 971,736 : x
  2. Step 2: Convert to fraction form
    450,984/971,736 = 971,736/x
  3. Step 3: Cross multiply
    450,984x = 971,736 × 971,736
  4. Step 4: Simplify right side
    450,984x = 944,270,853,696
  5. Step 5: Solve for x
    x = 944,270,853,696/450,984
  6. Step 6: Final answer
    x = 2,093,801.23

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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.