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Finding the Third Proportional to 1,020,675 and 2,383,999.50

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Solution

The third proportional to 1,020,675 and 2,383,999.50 is: 5,568,328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,675 : 2,383,999.50 = 2,383,999.50 : x
  2. Step 2: Convert to fraction form
    1,020,675/2,383,999.50 = 2,383,999.50/x
  3. Step 3: Cross multiply
    1,020,675x = 2,383,999.50 × 2,383,999.50
  4. Step 4: Simplify right side
    1,020,675x = 5,683,453,616,000.25
  5. Step 5: Solve for x
    x = 5,683,453,616,000.25/1,020,675
  6. Step 6: Final answer
    x = 5,568,328.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.