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Finding the Third Proportional to 2,295,273.50 and 3,685,661.50

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Solution

The third proportional to 2,295,273.50 and 3,685,661.50 is: 5,918,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295,273.50 : 3,685,661.50 = 3,685,661.50 : x
  2. Step 2: Convert to fraction form
    2,295,273.50/3,685,661.50 = 3,685,661.50/x
  3. Step 3: Cross multiply
    2,295,273.50x = 3,685,661.50 × 3,685,661.50
  4. Step 4: Simplify right side
    2,295,273.50x = 13,584,100,692,582.25
  5. Step 5: Solve for x
    x = 13,584,100,692,582.25/2,295,273.50
  6. Step 6: Final answer
    x = 5,918,292.83

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.