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Finding the Third Proportional to 754,176 and 1,054,944

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Solution

The third proportional to 754,176 and 1,054,944 is: 1,475,659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,176 : 1,054,944 = 1,054,944 : x
  2. Step 2: Convert to fraction form
    754,176/1,054,944 = 1,054,944/x
  3. Step 3: Cross multiply
    754,176x = 1,054,944 × 1,054,944
  4. Step 4: Simplify right side
    754,176x = 1,112,906,843,136
  5. Step 5: Solve for x
    x = 1,112,906,843,136/754,176
  6. Step 6: Final answer
    x = 1,475,659.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.