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Finding the Third Proportional to 448,133 and 967,577

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Solution

The third proportional to 448,133 and 967,577 is: 2,089,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,133 : 967,577 = 967,577 : x
  2. Step 2: Convert to fraction form
    448,133/967,577 = 967,577/x
  3. Step 3: Cross multiply
    448,133x = 967,577 × 967,577
  4. Step 4: Simplify right side
    448,133x = 936,205,250,929
  5. Step 5: Solve for x
    x = 936,205,250,929/448,133
  6. Step 6: Final answer
    x = 2,089,123.66

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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.