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Finding the Third Proportional to 683,932 and 1,026,263

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Solution

The third proportional to 683,932 and 1,026,263 is: 1,539,942.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,932 : 1,026,263 = 1,026,263 : x
  2. Step 2: Convert to fraction form
    683,932/1,026,263 = 1,026,263/x
  3. Step 3: Cross multiply
    683,932x = 1,026,263 × 1,026,263
  4. Step 4: Simplify right side
    683,932x = 1,053,215,745,169
  5. Step 5: Solve for x
    x = 1,053,215,745,169/683,932
  6. Step 6: Final answer
    x = 1,539,942.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.