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Finding the Third Proportional to 494,242 and 1,079,123

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Solution

The third proportional to 494,242 and 1,079,123 is: 2,356,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,242 : 1,079,123 = 1,079,123 : x
  2. Step 2: Convert to fraction form
    494,242/1,079,123 = 1,079,123/x
  3. Step 3: Cross multiply
    494,242x = 1,079,123 × 1,079,123
  4. Step 4: Simplify right side
    494,242x = 1,164,506,449,129
  5. Step 5: Solve for x
    x = 1,164,506,449,129/494,242
  6. Step 6: Final answer
    x = 2,356,146.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.