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Finding the Third Proportional to 246,391,971 and 540,967,926

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Solution

The third proportional to 246,391,971 and 540,967,926 is: 1,187,726,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,391,971 : 540,967,926 = 540,967,926 : x
  2. Step 2: Convert to fraction form
    246,391,971/540,967,926 = 540,967,926/x
  3. Step 3: Cross multiply
    246,391,971x = 540,967,926 × 540,967,926
  4. Step 4: Simplify right side
    246,391,971x = 292,646,296,960,741,504
  5. Step 5: Solve for x
    x = 292,646,296,960,741,504/246,391,971
  6. Step 6: Final answer
    x = 1,187,726,595.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.