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Finding the Third Proportional to 2,554,023.02 and 3,823,999.40

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Solution

The third proportional to 2,554,023.02 and 3,823,999.40 is: 5,725,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554,023.02 : 3,823,999.40 = 3,823,999.40 : x
  2. Step 2: Convert to fraction form
    2,554,023.02/3,823,999.40 = 3,823,999.40/x
  3. Step 3: Cross multiply
    2,554,023.02x = 3,823,999.40 × 3,823,999.40
  4. Step 4: Simplify right side
    2,554,023.02x = 14,622,971,414,189.20
  5. Step 5: Solve for x
    x = 14,622,971,414,189.20/2,554,023.02
  6. Step 6: Final answer
    x = 5,725,465.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.