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Finding the Third Proportional to 494,858 and 1,103,440

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Solution

The third proportional to 494,858 and 1,103,440 is: 2,460,463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,858 : 1,103,440 = 1,103,440 : x
  2. Step 2: Convert to fraction form
    494,858/1,103,440 = 1,103,440/x
  3. Step 3: Cross multiply
    494,858x = 1,103,440 × 1,103,440
  4. Step 4: Simplify right side
    494,858x = 1,217,579,833,600
  5. Step 5: Solve for x
    x = 1,217,579,833,600/494,858
  6. Step 6: Final answer
    x = 2,460,463.07

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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.