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Finding the Third Proportional to 647,286 and 1,005,009

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Solution

The third proportional to 647,286 and 1,005,009 is: 1,560,427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,286 : 1,005,009 = 1,005,009 : x
  2. Step 2: Convert to fraction form
    647,286/1,005,009 = 1,005,009/x
  3. Step 3: Cross multiply
    647,286x = 1,005,009 × 1,005,009
  4. Step 4: Simplify right side
    647,286x = 1,010,043,090,081
  5. Step 5: Solve for x
    x = 1,010,043,090,081/647,286
  6. Step 6: Final answer
    x = 1,560,427.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.