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Finding the Third Proportional to 1,787,762.81 and 3,909,743.44

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Solution

The third proportional to 1,787,762.81 and 3,909,743.44 is: 8,550,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787,762.81 : 3,909,743.44 = 3,909,743.44 : x
  2. Step 2: Convert to fraction form
    1,787,762.81/3,909,743.44 = 3,909,743.44/x
  3. Step 3: Cross multiply
    1,787,762.81x = 3,909,743.44 × 3,909,743.44
  4. Step 4: Simplify right side
    1,787,762.81x = 15,286,093,747,074.32
  5. Step 5: Solve for x
    x = 15,286,093,747,074.32/1,787,762.81
  6. Step 6: Final answer
    x = 8,550,403.69

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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.