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Finding the Third Proportional to 496,755 and 1,105,929

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Solution

The third proportional to 496,755 and 1,105,929 is: 2,462,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,755 : 1,105,929 = 1,105,929 : x
  2. Step 2: Convert to fraction form
    496,755/1,105,929 = 1,105,929/x
  3. Step 3: Cross multiply
    496,755x = 1,105,929 × 1,105,929
  4. Step 4: Simplify right side
    496,755x = 1,223,078,953,041
  5. Step 5: Solve for x
    x = 1,223,078,953,041/496,755
  6. Step 6: Final answer
    x = 2,462,137.18

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.