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Finding the Third Proportional to 269,218,974 and 585,607,890

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Solution

The third proportional to 269,218,974 and 585,607,890 is: 1,273,820,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,218,974 : 585,607,890 = 585,607,890 : x
  2. Step 2: Convert to fraction form
    269,218,974/585,607,890 = 585,607,890/x
  3. Step 3: Cross multiply
    269,218,974x = 585,607,890 × 585,607,890
  4. Step 4: Simplify right side
    269,218,974x = 342,936,600,830,252,096
  5. Step 5: Solve for x
    x = 342,936,600,830,252,096/269,218,974
  6. Step 6: Final answer
    x = 1,273,820,324.53

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Why These Related Problems?

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