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Finding the Third Proportional to 494,646 and 1,059,384

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Solution

The third proportional to 494,646 and 1,059,384 is: 2,268,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,646 : 1,059,384 = 1,059,384 : x
  2. Step 2: Convert to fraction form
    494,646/1,059,384 = 1,059,384/x
  3. Step 3: Cross multiply
    494,646x = 1,059,384 × 1,059,384
  4. Step 4: Simplify right side
    494,646x = 1,122,294,459,456
  5. Step 5: Solve for x
    x = 1,122,294,459,456/494,646
  6. Step 6: Final answer
    x = 2,268,884.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.