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Finding the Third Proportional to 468,682,992 and 1,020,686,328

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Solution

The third proportional to 468,682,992 and 1,020,686,328 is: 2,222,825,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,682,992 : 1,020,686,328 = 1,020,686,328 : x
  2. Step 2: Convert to fraction form
    468,682,992/1,020,686,328 = 1,020,686,328/x
  3. Step 3: Cross multiply
    468,682,992x = 1,020,686,328 × 1,020,686,328
  4. Step 4: Simplify right side
    468,682,992x = 1,041,800,580,166,123,520
  5. Step 5: Solve for x
    x = 1,041,800,580,166,123,520/468,682,992
  6. Step 6: Final answer
    x = 2,222,825,658.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.