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Finding the Third Proportional to 905,100.75 and 1,983,043.13

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Solution

The third proportional to 905,100.75 and 1,983,043.13 is: 4,344,776.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,100.75 : 1,983,043.13 = 1,983,043.13 : x
  2. Step 2: Convert to fraction form
    905,100.75/1,983,043.13 = 1,983,043.13/x
  3. Step 3: Cross multiply
    905,100.75x = 1,983,043.13 × 1,983,043.13
  4. Step 4: Simplify right side
    905,100.75x = 3,932,460,035,609.77
  5. Step 5: Solve for x
    x = 3,932,460,035,609.77/905,100.75
  6. Step 6: Final answer
    x = 4,344,776.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.