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Finding the Third Proportional to 965,629 and 2,078,515

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Solution

The third proportional to 965,629 and 2,078,515 is: 4,474,000.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,629 : 2,078,515 = 2,078,515 : x
  2. Step 2: Convert to fraction form
    965,629/2,078,515 = 2,078,515/x
  3. Step 3: Cross multiply
    965,629x = 2,078,515 × 2,078,515
  4. Step 4: Simplify right side
    965,629x = 4,320,224,605,225
  5. Step 5: Solve for x
    x = 4,320,224,605,225/965,629
  6. Step 6: Final answer
    x = 4,474,000.48

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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.