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Finding the Third Proportional to 1,029,783.94 and 2,153,676.94

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Solution

The third proportional to 1,029,783.94 and 2,153,676.94 is: 4,504,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,783.94 : 2,153,676.94 = 2,153,676.94 : x
  2. Step 2: Convert to fraction form
    1,029,783.94/2,153,676.94 = 2,153,676.94/x
  3. Step 3: Cross multiply
    1,029,783.94x = 2,153,676.94 × 2,153,676.94
  4. Step 4: Simplify right side
    1,029,783.94x = 4,638,324,351,119.38
  5. Step 5: Solve for x
    x = 4,638,324,351,119.38/1,029,783.94
  6. Step 6: Final answer
    x = 4,504,172.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.