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Finding the Third Proportional to 919,914 and 1,289,080

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Solution

The third proportional to 919,914 and 1,289,080 is: 1,806,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,914 : 1,289,080 = 1,289,080 : x
  2. Step 2: Convert to fraction form
    919,914/1,289,080 = 1,289,080/x
  3. Step 3: Cross multiply
    919,914x = 1,289,080 × 1,289,080
  4. Step 4: Simplify right side
    919,914x = 1,661,727,246,400
  5. Step 5: Solve for x
    x = 1,661,727,246,400/919,914
  6. Step 6: Final answer
    x = 1,806,394.13

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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.