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Finding the Third Proportional to 260,038,614 and 541,600,546

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Solution

The third proportional to 260,038,614 and 541,600,546 is: 1,128,029,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038,614 : 541,600,546 = 541,600,546 : x
  2. Step 2: Convert to fraction form
    260,038,614/541,600,546 = 541,600,546/x
  3. Step 3: Cross multiply
    260,038,614x = 541,600,546 × 541,600,546
  4. Step 4: Simplify right side
    260,038,614x = 293,331,151,427,498,112
  5. Step 5: Solve for x
    x = 293,331,151,427,498,112/260,038,614
  6. Step 6: Final answer
    x = 1,128,029,206.57

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.