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Finding the Third Proportional to 984,744 and 2,120,139

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Solution

The third proportional to 984,744 and 2,120,139 is: 4,564,627.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,744 : 2,120,139 = 2,120,139 : x
  2. Step 2: Convert to fraction form
    984,744/2,120,139 = 2,120,139/x
  3. Step 3: Cross multiply
    984,744x = 2,120,139 × 2,120,139
  4. Step 4: Simplify right side
    984,744x = 4,494,989,379,321
  5. Step 5: Solve for x
    x = 4,494,989,379,321/984,744
  6. Step 6: Final answer
    x = 4,564,627.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.