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Finding the Third Proportional to 1,042,896 and 2,511,567

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Solution

The third proportional to 1,042,896 and 2,511,567 is: 6,048,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042,896 : 2,511,567 = 2,511,567 : x
  2. Step 2: Convert to fraction form
    1,042,896/2,511,567 = 2,511,567/x
  3. Step 3: Cross multiply
    1,042,896x = 2,511,567 × 2,511,567
  4. Step 4: Simplify right side
    1,042,896x = 6,307,968,795,489
  5. Step 5: Solve for x
    x = 6,307,968,795,489/1,042,896
  6. Step 6: Final answer
    x = 6,048,511.83

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.