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Finding the Third Proportional to 738,938 and 1,190,009

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Solution

The third proportional to 738,938 and 1,190,009 is: 1,916,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,938 : 1,190,009 = 1,190,009 : x
  2. Step 2: Convert to fraction form
    738,938/1,190,009 = 1,190,009/x
  3. Step 3: Cross multiply
    738,938x = 1,190,009 × 1,190,009
  4. Step 4: Simplify right side
    738,938x = 1,416,121,420,081
  5. Step 5: Solve for x
    x = 1,416,121,420,081/738,938
  6. Step 6: Final answer
    x = 1,916,427.93

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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.