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Finding the Third Proportional to 1,628,613.84 and 3,216,353.06

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Solution

The third proportional to 1,628,613.84 and 3,216,353.06 is: 6,351,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628,613.84 : 3,216,353.06 = 3,216,353.06 : x
  2. Step 2: Convert to fraction form
    1,628,613.84/3,216,353.06 = 3,216,353.06/x
  3. Step 3: Cross multiply
    1,628,613.84x = 3,216,353.06 × 3,216,353.06
  4. Step 4: Simplify right side
    1,628,613.84x = 10,344,927,022,653.13
  5. Step 5: Solve for x
    x = 10,344,927,022,653.13/1,628,613.84
  6. Step 6: Final answer
    x = 6,351,982.74

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.