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Finding the Third Proportional to 935,817 and 1,397,489

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Solution

The third proportional to 935,817 and 1,397,489 is: 2,086,920.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,817 : 1,397,489 = 1,397,489 : x
  2. Step 2: Convert to fraction form
    935,817/1,397,489 = 1,397,489/x
  3. Step 3: Cross multiply
    935,817x = 1,397,489 × 1,397,489
  4. Step 4: Simplify right side
    935,817x = 1,952,975,505,121
  5. Step 5: Solve for x
    x = 1,952,975,505,121/935,817
  6. Step 6: Final answer
    x = 2,086,920.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.