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Finding the Third Proportional to 494,284 and 1,078,781

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Solution

The third proportional to 494,284 and 1,078,781 is: 2,354,453.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,284 : 1,078,781 = 1,078,781 : x
  2. Step 2: Convert to fraction form
    494,284/1,078,781 = 1,078,781/x
  3. Step 3: Cross multiply
    494,284x = 1,078,781 × 1,078,781
  4. Step 4: Simplify right side
    494,284x = 1,163,768,445,961
  5. Step 5: Solve for x
    x = 1,163,768,445,961/494,284
  6. Step 6: Final answer
    x = 2,354,453.00

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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.