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Finding the Third Proportional to 448,631.16 and 984,443.63

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Solution

The third proportional to 448,631.16 and 984,443.63 is: 2,160,191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,631.16 : 984,443.63 = 984,443.63 : x
  2. Step 2: Convert to fraction form
    448,631.16/984,443.63 = 984,443.63/x
  3. Step 3: Cross multiply
    448,631.16x = 984,443.63 × 984,443.63
  4. Step 4: Simplify right side
    448,631.16x = 969,129,250,803.14
  5. Step 5: Solve for x
    x = 969,129,250,803.14/448,631.16
  6. Step 6: Final answer
    x = 2,160,191.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.