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Finding the Third Proportional to 643,898 and 1,388,215

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Solution

The third proportional to 643,898 and 1,388,215 is: 2,992,928.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,898 : 1,388,215 = 1,388,215 : x
  2. Step 2: Convert to fraction form
    643,898/1,388,215 = 1,388,215/x
  3. Step 3: Cross multiply
    643,898x = 1,388,215 × 1,388,215
  4. Step 4: Simplify right side
    643,898x = 1,927,140,886,225
  5. Step 5: Solve for x
    x = 1,927,140,886,225/643,898
  6. Step 6: Final answer
    x = 2,992,928.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.