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Finding the Third Proportional to 1,769,696 and 2,732,778

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Solution

The third proportional to 1,769,696 and 2,732,778 is: 4,219,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,696 : 2,732,778 = 2,732,778 : x
  2. Step 2: Convert to fraction form
    1,769,696/2,732,778 = 2,732,778/x
  3. Step 3: Cross multiply
    1,769,696x = 2,732,778 × 2,732,778
  4. Step 4: Simplify right side
    1,769,696x = 7,468,075,597,284
  5. Step 5: Solve for x
    x = 7,468,075,597,284/1,769,696
  6. Step 6: Final answer
    x = 4,219,976.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.