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Finding the Third Proportional to 620,869 and 951,808

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Solution

The third proportional to 620,869 and 951,808 is: 1,459,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,869 : 951,808 = 951,808 : x
  2. Step 2: Convert to fraction form
    620,869/951,808 = 951,808/x
  3. Step 3: Cross multiply
    620,869x = 951,808 × 951,808
  4. Step 4: Simplify right side
    620,869x = 905,938,468,864
  5. Step 5: Solve for x
    x = 905,938,468,864/620,869
  6. Step 6: Final answer
    x = 1,459,145.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.