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Finding the Third Proportional to 246,462,596 and 534,022,972

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Solution

The third proportional to 246,462,596 and 534,022,972 is: 1,157,094,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,462,596 : 534,022,972 = 534,022,972 : x
  2. Step 2: Convert to fraction form
    246,462,596/534,022,972 = 534,022,972/x
  3. Step 3: Cross multiply
    246,462,596x = 534,022,972 × 534,022,972
  4. Step 4: Simplify right side
    246,462,596x = 285,180,534,623,712,768
  5. Step 5: Solve for x
    x = 285,180,534,623,712,768/246,462,596
  6. Step 6: Final answer
    x = 1,157,094,582.51

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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.