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Finding the Third Proportional to 546,519,788 and 1,190,076,740

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Solution

The third proportional to 546,519,788 and 1,190,076,740 is: 2,591,457,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,519,788 : 1,190,076,740 = 1,190,076,740 : x
  2. Step 2: Convert to fraction form
    546,519,788/1,190,076,740 = 1,190,076,740/x
  3. Step 3: Cross multiply
    546,519,788x = 1,190,076,740 × 1,190,076,740
  4. Step 4: Simplify right side
    546,519,788x = 1,416,282,647,089,027,584
  5. Step 5: Solve for x
    x = 1,416,282,647,089,027,584/546,519,788
  6. Step 6: Final answer
    x = 2,591,457,213.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.