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Finding the Third Proportional to 647,584 and 1,320,856

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Solution

The third proportional to 647,584 and 1,320,856 is: 2,694,106.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,584 : 1,320,856 = 1,320,856 : x
  2. Step 2: Convert to fraction form
    647,584/1,320,856 = 1,320,856/x
  3. Step 3: Cross multiply
    647,584x = 1,320,856 × 1,320,856
  4. Step 4: Simplify right side
    647,584x = 1,744,660,572,736
  5. Step 5: Solve for x
    x = 1,744,660,572,736/647,584
  6. Step 6: Final answer
    x = 2,694,106.98

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.