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Finding the Third Proportional to 919,914 and 1,289,074

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Solution

The third proportional to 919,914 and 1,289,074 is: 1,806,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,914 : 1,289,074 = 1,289,074 : x
  2. Step 2: Convert to fraction form
    919,914/1,289,074 = 1,289,074/x
  3. Step 3: Cross multiply
    919,914x = 1,289,074 × 1,289,074
  4. Step 4: Simplify right side
    919,914x = 1,661,711,777,476
  5. Step 5: Solve for x
    x = 1,661,711,777,476/919,914
  6. Step 6: Final answer
    x = 1,806,377.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.