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Finding the Third Proportional to 448,011 and 984,595

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Solution

The third proportional to 448,011 and 984,595 is: 2,163,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,011 : 984,595 = 984,595 : x
  2. Step 2: Convert to fraction form
    448,011/984,595 = 984,595/x
  3. Step 3: Cross multiply
    448,011x = 984,595 × 984,595
  4. Step 4: Simplify right side
    448,011x = 969,427,314,025
  5. Step 5: Solve for x
    x = 969,427,314,025/448,011
  6. Step 6: Final answer
    x = 2,163,847.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.