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Finding the Third Proportional to 647,204 and 1,013,050

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Solution

The third proportional to 647,204 and 1,013,050 is: 1,585,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,204 : 1,013,050 = 1,013,050 : x
  2. Step 2: Convert to fraction form
    647,204/1,013,050 = 1,013,050/x
  3. Step 3: Cross multiply
    647,204x = 1,013,050 × 1,013,050
  4. Step 4: Simplify right side
    647,204x = 1,026,270,302,500
  5. Step 5: Solve for x
    x = 1,026,270,302,500/647,204
  6. Step 6: Final answer
    x = 1,585,698.33

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.