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Finding the Third Proportional to 546,519,787 and 1,190,076,736

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Solution

The third proportional to 546,519,787 and 1,190,076,736 is: 2,591,457,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,519,787 : 1,190,076,736 = 1,190,076,736 : x
  2. Step 2: Convert to fraction form
    546,519,787/1,190,076,736 = 1,190,076,736/x
  3. Step 3: Cross multiply
    546,519,787x = 1,190,076,736 × 1,190,076,736
  4. Step 4: Simplify right side
    546,519,787x = 1,416,282,637,568,413,696
  5. Step 5: Solve for x
    x = 1,416,282,637,568,413,696/546,519,787
  6. Step 6: Final answer
    x = 2,591,457,201.11

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Why These Related Problems?

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