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Finding the Third Proportional to 453,720 and 976,752

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Solution

The third proportional to 453,720 and 976,752 is: 2,102,716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,720 : 976,752 = 976,752 : x
  2. Step 2: Convert to fraction form
    453,720/976,752 = 976,752/x
  3. Step 3: Cross multiply
    453,720x = 976,752 × 976,752
  4. Step 4: Simplify right side
    453,720x = 954,044,469,504
  5. Step 5: Solve for x
    x = 954,044,469,504/453,720
  6. Step 6: Final answer
    x = 2,102,716.37

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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.