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Finding the Third Proportional to 647,172 and 1,013,009

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Solution

The third proportional to 647,172 and 1,013,009 is: 1,585,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,172 : 1,013,009 = 1,013,009 : x
  2. Step 2: Convert to fraction form
    647,172/1,013,009 = 1,013,009/x
  3. Step 3: Cross multiply
    647,172x = 1,013,009 × 1,013,009
  4. Step 4: Simplify right side
    647,172x = 1,026,187,234,081
  5. Step 5: Solve for x
    x = 1,026,187,234,081/647,172
  6. Step 6: Final answer
    x = 1,585,648.38

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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.