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Finding the Third Proportional to 494,226 and 1,084,679

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Solution

The third proportional to 494,226 and 1,084,679 is: 2,380,547.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,226 : 1,084,679 = 1,084,679 : x
  2. Step 2: Convert to fraction form
    494,226/1,084,679 = 1,084,679/x
  3. Step 3: Cross multiply
    494,226x = 1,084,679 × 1,084,679
  4. Step 4: Simplify right side
    494,226x = 1,176,528,533,041
  5. Step 5: Solve for x
    x = 1,176,528,533,041/494,226
  6. Step 6: Final answer
    x = 2,380,547.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.