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Finding the Third Proportional to 945,055.69 and 2,073,817.69

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Solution

The third proportional to 945,055.69 and 2,073,817.69 is: 4,550,758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,055.69 : 2,073,817.69 = 2,073,817.69 : x
  2. Step 2: Convert to fraction form
    945,055.69/2,073,817.69 = 2,073,817.69/x
  3. Step 3: Cross multiply
    945,055.69x = 2,073,817.69 × 2,073,817.69
  4. Step 4: Simplify right side
    945,055.69x = 4,300,719,800,987.85
  5. Step 5: Solve for x
    x = 4,300,719,800,987.85/945,055.69
  6. Step 6: Final answer
    x = 4,550,758.07

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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.