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Finding the Third Proportional to 448,102 and 967,516

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Solution

The third proportional to 448,102 and 967,516 is: 2,089,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,102 : 967,516 = 967,516 : x
  2. Step 2: Convert to fraction form
    448,102/967,516 = 967,516/x
  3. Step 3: Cross multiply
    448,102x = 967,516 × 967,516
  4. Step 4: Simplify right side
    448,102x = 936,087,210,256
  5. Step 5: Solve for x
    x = 936,087,210,256/448,102
  6. Step 6: Final answer
    x = 2,089,004.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.