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Finding the Third Proportional to 449,536 and 965,168

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Solution

The third proportional to 449,536 and 965,168 is: 2,072,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,536 : 965,168 = 965,168 : x
  2. Step 2: Convert to fraction form
    449,536/965,168 = 965,168/x
  3. Step 3: Cross multiply
    449,536x = 965,168 × 965,168
  4. Step 4: Simplify right side
    449,536x = 931,549,268,224
  5. Step 5: Solve for x
    x = 931,549,268,224/449,536
  6. Step 6: Final answer
    x = 2,072,246.20

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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.