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Finding the Third Proportional to 2,089,762.75 and 4,590,521

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Solution

The third proportional to 2,089,762.75 and 4,590,521 is: 10,083,863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089,762.75 : 4,590,521 = 4,590,521 : x
  2. Step 2: Convert to fraction form
    2,089,762.75/4,590,521 = 4,590,521/x
  3. Step 3: Cross multiply
    2,089,762.75x = 4,590,521 × 4,590,521
  4. Step 4: Simplify right side
    2,089,762.75x = 21,072,883,051,441
  5. Step 5: Solve for x
    x = 21,072,883,051,441/2,089,762.75
  6. Step 6: Final answer
    x = 10,083,863.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.