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Finding the Third Proportional to 448,770.38 and 972,311.34

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Solution

The third proportional to 448,770.38 and 972,311.34 is: 2,106,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,770.38 : 972,311.34 = 972,311.34 : x
  2. Step 2: Convert to fraction form
    448,770.38/972,311.34 = 972,311.34/x
  3. Step 3: Cross multiply
    448,770.38x = 972,311.34 × 972,311.34
  4. Step 4: Simplify right side
    448,770.38x = 945,389,349,184.93
  5. Step 5: Solve for x
    x = 945,389,349,184.93/448,770.38
  6. Step 6: Final answer
    x = 2,106,621.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.