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Finding the Third Proportional to 696,734 and 1,042,393

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Solution

The third proportional to 696,734 and 1,042,393 is: 1,559,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,734 : 1,042,393 = 1,042,393 : x
  2. Step 2: Convert to fraction form
    696,734/1,042,393 = 1,042,393/x
  3. Step 3: Cross multiply
    696,734x = 1,042,393 × 1,042,393
  4. Step 4: Simplify right side
    696,734x = 1,086,583,166,449
  5. Step 5: Solve for x
    x = 1,086,583,166,449/696,734
  6. Step 6: Final answer
    x = 1,559,538.03

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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.