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Finding the Third Proportional to 969,830 and 2,107,532

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Solution

The third proportional to 969,830 and 2,107,532 is: 4,579,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,830 : 2,107,532 = 2,107,532 : x
  2. Step 2: Convert to fraction form
    969,830/2,107,532 = 2,107,532/x
  3. Step 3: Cross multiply
    969,830x = 2,107,532 × 2,107,532
  4. Step 4: Simplify right side
    969,830x = 4,441,691,131,024
  5. Step 5: Solve for x
    x = 4,441,691,131,024/969,830
  6. Step 6: Final answer
    x = 4,579,865.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.