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Finding the Third Proportional to 246,462,590 and 534,022,960

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Solution

The third proportional to 246,462,590 and 534,022,960 is: 1,157,094,558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,462,590 : 534,022,960 = 534,022,960 : x
  2. Step 2: Convert to fraction form
    246,462,590/534,022,960 = 534,022,960/x
  3. Step 3: Cross multiply
    246,462,590x = 534,022,960 × 534,022,960
  4. Step 4: Simplify right side
    246,462,590x = 285,180,521,807,161,600
  5. Step 5: Solve for x
    x = 285,180,521,807,161,600/246,462,590
  6. Step 6: Final answer
    x = 1,157,094,558.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.