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Finding the Third Proportional to 683,402 and 1,086,137

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Solution

The third proportional to 683,402 and 1,086,137 is: 1,726,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,402 : 1,086,137 = 1,086,137 : x
  2. Step 2: Convert to fraction form
    683,402/1,086,137 = 1,086,137/x
  3. Step 3: Cross multiply
    683,402x = 1,086,137 × 1,086,137
  4. Step 4: Simplify right side
    683,402x = 1,179,693,582,769
  5. Step 5: Solve for x
    x = 1,179,693,582,769/683,402
  6. Step 6: Final answer
    x = 1,726,207.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.