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Finding the Third Proportional to 381,460,345 and 823,902,986

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Solution

The third proportional to 381,460,345 and 823,902,986 is: 1,779,519,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,460,345 : 823,902,986 = 823,902,986 : x
  2. Step 2: Convert to fraction form
    381,460,345/823,902,986 = 823,902,986/x
  3. Step 3: Cross multiply
    381,460,345x = 823,902,986 × 823,902,986
  4. Step 4: Simplify right side
    381,460,345x = 678,816,130,339,716,224
  5. Step 5: Solve for x
    x = 678,816,130,339,716,224/381,460,345
  6. Step 6: Final answer
    x = 1,779,519,520.80

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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.