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Finding the Third Proportional to 546,519,672 and 1,190,076,537

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Solution

The third proportional to 546,519,672 and 1,190,076,537 is: 2,591,456,879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,519,672 : 1,190,076,537 = 1,190,076,537 : x
  2. Step 2: Convert to fraction form
    546,519,672/1,190,076,537 = 1,190,076,537/x
  3. Step 3: Cross multiply
    546,519,672x = 1,190,076,537 × 1,190,076,537
  4. Step 4: Simplify right side
    546,519,672x = 1,416,282,163,917,912,320
  5. Step 5: Solve for x
    x = 1,416,282,163,917,912,320/546,519,672
  6. Step 6: Final answer
    x = 2,591,456,879.74

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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.