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Finding the Third Proportional to 1,576,678 and 3,458,570

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Solution

The third proportional to 1,576,678 and 3,458,570 is: 7,586,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,678 : 3,458,570 = 3,458,570 : x
  2. Step 2: Convert to fraction form
    1,576,678/3,458,570 = 3,458,570/x
  3. Step 3: Cross multiply
    1,576,678x = 3,458,570 × 3,458,570
  4. Step 4: Simplify right side
    1,576,678x = 11,961,706,444,900
  5. Step 5: Solve for x
    x = 11,961,706,444,900/1,576,678
  6. Step 6: Final answer
    x = 7,586,651.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.