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Finding the Third Proportional to 435,906 and 938,606.63

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Solution

The third proportional to 435,906 and 938,606.63 is: 2,021,037.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,906 : 938,606.63 = 938,606.63 : x
  2. Step 2: Convert to fraction form
    435,906/938,606.63 = 938,606.63/x
  3. Step 3: Cross multiply
    435,906x = 938,606.63 × 938,606.63
  4. Step 4: Simplify right side
    435,906x = 880,982,396,493.89
  5. Step 5: Solve for x
    x = 880,982,396,493.89/435,906
  6. Step 6: Final answer
    x = 2,021,037.56

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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.