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Finding the Third Proportional to 496,767 and 1,105,951

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Solution

The third proportional to 496,767 and 1,105,951 is: 2,462,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,767 : 1,105,951 = 1,105,951 : x
  2. Step 2: Convert to fraction form
    496,767/1,105,951 = 1,105,951/x
  3. Step 3: Cross multiply
    496,767x = 1,105,951 × 1,105,951
  4. Step 4: Simplify right side
    496,767x = 1,223,127,614,401
  5. Step 5: Solve for x
    x = 1,223,127,614,401/496,767
  6. Step 6: Final answer
    x = 2,462,175.66

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Why These Related Problems?

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