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Finding the Third Proportional to 496,700 and 1,105,830

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Solution

The third proportional to 496,700 and 1,105,830 is: 2,461,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,700 : 1,105,830 = 1,105,830 : x
  2. Step 2: Convert to fraction form
    496,700/1,105,830 = 1,105,830/x
  3. Step 3: Cross multiply
    496,700x = 1,105,830 × 1,105,830
  4. Step 4: Simplify right side
    496,700x = 1,222,859,988,900
  5. Step 5: Solve for x
    x = 1,222,859,988,900/496,700
  6. Step 6: Final answer
    x = 2,461,968.97

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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.