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Finding the Third Proportional to 260,038,610 and 541,600,538

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Solution

The third proportional to 260,038,610 and 541,600,538 is: 1,128,029,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038,610 : 541,600,538 = 541,600,538 : x
  2. Step 2: Convert to fraction form
    260,038,610/541,600,538 = 541,600,538/x
  3. Step 3: Cross multiply
    260,038,610x = 541,600,538 × 541,600,538
  4. Step 4: Simplify right side
    260,038,610x = 293,331,142,761,889,472
  5. Step 5: Solve for x
    x = 293,331,142,761,889,472/260,038,610
  6. Step 6: Final answer
    x = 1,128,029,190.60

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Why These Related Problems?

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