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Finding the Third Proportional to 930,141 and 1,395,198

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Solution

The third proportional to 930,141 and 1,395,198 is: 2,092,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,141 : 1,395,198 = 1,395,198 : x
  2. Step 2: Convert to fraction form
    930,141/1,395,198 = 1,395,198/x
  3. Step 3: Cross multiply
    930,141x = 1,395,198 × 1,395,198
  4. Step 4: Simplify right side
    930,141x = 1,946,577,459,204
  5. Step 5: Solve for x
    x = 1,946,577,459,204/930,141
  6. Step 6: Final answer
    x = 2,092,776.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.