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Finding the Third Proportional to 1,684,048 and 2,576,590

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Solution

The third proportional to 1,684,048 and 2,576,590 is: 3,942,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,048 : 2,576,590 = 2,576,590 : x
  2. Step 2: Convert to fraction form
    1,684,048/2,576,590 = 2,576,590/x
  3. Step 3: Cross multiply
    1,684,048x = 2,576,590 × 2,576,590
  4. Step 4: Simplify right side
    1,684,048x = 6,638,816,028,100
  5. Step 5: Solve for x
    x = 6,638,816,028,100/1,684,048
  6. Step 6: Final answer
    x = 3,942,177.44

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