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Finding the Third Proportional to 984,326 and 1,496,399

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Solution

The third proportional to 984,326 and 1,496,399 is: 2,274,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,326 : 1,496,399 = 1,496,399 : x
  2. Step 2: Convert to fraction form
    984,326/1,496,399 = 1,496,399/x
  3. Step 3: Cross multiply
    984,326x = 1,496,399 × 1,496,399
  4. Step 4: Simplify right side
    984,326x = 2,239,209,967,201
  5. Step 5: Solve for x
    x = 2,239,209,967,201/984,326
  6. Step 6: Final answer
    x = 2,274,866.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.