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Finding the Third Proportional to 484,491,054 and 1,062,780,600

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Solution

The third proportional to 484,491,054 and 1,062,780,600 is: 2,331,317,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,491,054 : 1,062,780,600 = 1,062,780,600 : x
  2. Step 2: Convert to fraction form
    484,491,054/1,062,780,600 = 1,062,780,600/x
  3. Step 3: Cross multiply
    484,491,054x = 1,062,780,600 × 1,062,780,600
  4. Step 4: Simplify right side
    484,491,054x = 1,129,502,603,736,359,936
  5. Step 5: Solve for x
    x = 1,129,502,603,736,359,936/484,491,054
  6. Step 6: Final answer
    x = 2,331,317,770.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.