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Finding the Third Proportional to 763,599 and 1,645,215

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Solution

The third proportional to 763,599 and 1,645,215 is: 3,544,703.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,599 : 1,645,215 = 1,645,215 : x
  2. Step 2: Convert to fraction form
    763,599/1,645,215 = 1,645,215/x
  3. Step 3: Cross multiply
    763,599x = 1,645,215 × 1,645,215
  4. Step 4: Simplify right side
    763,599x = 2,706,732,396,225
  5. Step 5: Solve for x
    x = 2,706,732,396,225/763,599
  6. Step 6: Final answer
    x = 3,544,703.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.