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Finding the Third Proportional to 496,379,218 and 1,091,225,924

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Solution

The third proportional to 496,379,218 and 1,091,225,924 is: 2,398,919,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,379,218 : 1,091,225,924 = 1,091,225,924 : x
  2. Step 2: Convert to fraction form
    496,379,218/1,091,225,924 = 1,091,225,924/x
  3. Step 3: Cross multiply
    496,379,218x = 1,091,225,924 × 1,091,225,924
  4. Step 4: Simplify right side
    496,379,218x = 1,190,774,017,209,653,760
  5. Step 5: Solve for x
    x = 1,190,774,017,209,653,760/496,379,218
  6. Step 6: Final answer
    x = 2,398,919,966.89

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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.