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Finding the Third Proportional to 2,146,220.50 and 4,548,293

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Solution

The third proportional to 2,146,220.50 and 4,548,293 is: 9,638,790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146,220.50 : 4,548,293 = 4,548,293 : x
  2. Step 2: Convert to fraction form
    2,146,220.50/4,548,293 = 4,548,293/x
  3. Step 3: Cross multiply
    2,146,220.50x = 4,548,293 × 4,548,293
  4. Step 4: Simplify right side
    2,146,220.50x = 20,686,969,213,849
  5. Step 5: Solve for x
    x = 20,686,969,213,849/2,146,220.50
  6. Step 6: Final answer
    x = 9,638,790.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.