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Finding the Third Proportional to 738,914 and 1,189,971

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Solution

The third proportional to 738,914 and 1,189,971 is: 1,916,367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,914 : 1,189,971 = 1,189,971 : x
  2. Step 2: Convert to fraction form
    738,914/1,189,971 = 1,189,971/x
  3. Step 3: Cross multiply
    738,914x = 1,189,971 × 1,189,971
  4. Step 4: Simplify right side
    738,914x = 1,416,030,980,841
  5. Step 5: Solve for x
    x = 1,416,030,980,841/738,914
  6. Step 6: Final answer
    x = 1,916,367.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.