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Finding the Third Proportional to 544,061,769 and 1,180,494,627

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Solution

The third proportional to 544,061,769 and 1,180,494,627 is: 2,561,414,243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,061,769 : 1,180,494,627 = 1,180,494,627 : x
  2. Step 2: Convert to fraction form
    544,061,769/1,180,494,627 = 1,180,494,627/x
  3. Step 3: Cross multiply
    544,061,769x = 1,180,494,627 × 1,180,494,627
  4. Step 4: Simplify right side
    544,061,769x = 1,393,567,564,375,869,184
  5. Step 5: Solve for x
    x = 1,393,567,564,375,869,184/544,061,769
  6. Step 6: Final answer
    x = 2,561,414,243.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.