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Finding the Third Proportional to 965,649 and 2,078,556

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Solution

The third proportional to 965,649 and 2,078,556 is: 4,474,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,649 : 2,078,556 = 2,078,556 : x
  2. Step 2: Convert to fraction form
    965,649/2,078,556 = 2,078,556/x
  3. Step 3: Cross multiply
    965,649x = 2,078,556 × 2,078,556
  4. Step 4: Simplify right side
    965,649x = 4,320,395,045,136
  5. Step 5: Solve for x
    x = 4,320,395,045,136/965,649
  6. Step 6: Final answer
    x = 4,474,084.32

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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.