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Finding the Third Proportional to 269,476,146 and 548,719,974

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Solution

The third proportional to 269,476,146 and 548,719,974 is: 1,117,329,360.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,476,146 : 548,719,974 = 548,719,974 : x
  2. Step 2: Convert to fraction form
    269,476,146/548,719,974 = 548,719,974/x
  3. Step 3: Cross multiply
    269,476,146x = 548,719,974 × 548,719,974
  4. Step 4: Simplify right side
    269,476,146x = 301,093,609,866,560,704
  5. Step 5: Solve for x
    x = 301,093,609,866,560,704/269,476,146
  6. Step 6: Final answer
    x = 1,117,329,360.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.