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Finding the Third Proportional to 647,288 and 1,005,012

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Solution

The third proportional to 647,288 and 1,005,012 is: 1,560,432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,288 : 1,005,012 = 1,005,012 : x
  2. Step 2: Convert to fraction form
    647,288/1,005,012 = 1,005,012/x
  3. Step 3: Cross multiply
    647,288x = 1,005,012 × 1,005,012
  4. Step 4: Simplify right side
    647,288x = 1,010,049,120,144
  5. Step 5: Solve for x
    x = 1,010,049,120,144/647,288
  6. Step 6: Final answer
    x = 1,560,432.33

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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.