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Finding the Third Proportional to 381,460,339 and 823,902,974

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Solution

The third proportional to 381,460,339 and 823,902,974 is: 1,779,519,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,460,339 : 823,902,974 = 823,902,974 : x
  2. Step 2: Convert to fraction form
    381,460,339/823,902,974 = 823,902,974/x
  3. Step 3: Cross multiply
    381,460,339x = 823,902,974 × 823,902,974
  4. Step 4: Simplify right side
    381,460,339x = 678,816,110,566,044,672
  5. Step 5: Solve for x
    x = 678,816,110,566,044,672/381,460,339
  6. Step 6: Final answer
    x = 1,779,519,496.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.