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Finding the Third Proportional to 450,186 and 984,024

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Solution

The third proportional to 450,186 and 984,024 is: 2,150,895.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,186 : 984,024 = 984,024 : x
  2. Step 2: Convert to fraction form
    450,186/984,024 = 984,024/x
  3. Step 3: Cross multiply
    450,186x = 984,024 × 984,024
  4. Step 4: Simplify right side
    450,186x = 968,303,232,576
  5. Step 5: Solve for x
    x = 968,303,232,576/450,186
  6. Step 6: Final answer
    x = 2,150,895.92

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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.