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Finding the Third Proportional to 1,739,936 and 2,661,900

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Solution

The third proportional to 1,739,936 and 2,661,900 is: 4,072,397.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739,936 : 2,661,900 = 2,661,900 : x
  2. Step 2: Convert to fraction form
    1,739,936/2,661,900 = 2,661,900/x
  3. Step 3: Cross multiply
    1,739,936x = 2,661,900 × 2,661,900
  4. Step 4: Simplify right side
    1,739,936x = 7,085,711,610,000
  5. Step 5: Solve for x
    x = 7,085,711,610,000/1,739,936
  6. Step 6: Final answer
    x = 4,072,397.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.