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Finding the Third Proportional to 2,531,185.50 and 3,920,343

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Solution

The third proportional to 2,531,185.50 and 3,920,343 is: 6,071,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531,185.50 : 3,920,343 = 3,920,343 : x
  2. Step 2: Convert to fraction form
    2,531,185.50/3,920,343 = 3,920,343/x
  3. Step 3: Cross multiply
    2,531,185.50x = 3,920,343 × 3,920,343
  4. Step 4: Simplify right side
    2,531,185.50x = 15,369,089,237,649
  5. Step 5: Solve for x
    x = 15,369,089,237,649/2,531,185.50
  6. Step 6: Final answer
    x = 6,071,893.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.