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Finding the Third Proportional to 935,817 and 1,397,487

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Solution

The third proportional to 935,817 and 1,397,487 is: 2,086,914.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,817 : 1,397,487 = 1,397,487 : x
  2. Step 2: Convert to fraction form
    935,817/1,397,487 = 1,397,487/x
  3. Step 3: Cross multiply
    935,817x = 1,397,487 × 1,397,487
  4. Step 4: Simplify right side
    935,817x = 1,952,969,915,169
  5. Step 5: Solve for x
    x = 1,952,969,915,169/935,817
  6. Step 6: Final answer
    x = 2,086,914.34

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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.