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Finding the Third Proportional to 260,038,586 and 541,600,492

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Solution

The third proportional to 260,038,586 and 541,600,492 is: 1,128,029,103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038,586 : 541,600,492 = 541,600,492 : x
  2. Step 2: Convert to fraction form
    260,038,586/541,600,492 = 541,600,492/x
  3. Step 3: Cross multiply
    260,038,586x = 541,600,492 × 541,600,492
  4. Step 4: Simplify right side
    260,038,586x = 293,331,092,934,642,048
  5. Step 5: Solve for x
    x = 293,331,092,934,642,048/260,038,586
  6. Step 6: Final answer
    x = 1,128,029,103.09

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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.