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Finding the Third Proportional to 754,171 and 1,054,938

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Solution

The third proportional to 754,171 and 1,054,938 is: 1,475,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,171 : 1,054,938 = 1,054,938 : x
  2. Step 2: Convert to fraction form
    754,171/1,054,938 = 1,054,938/x
  3. Step 3: Cross multiply
    754,171x = 1,054,938 × 1,054,938
  4. Step 4: Simplify right side
    754,171x = 1,112,894,183,844
  5. Step 5: Solve for x
    x = 1,112,894,183,844/754,171
  6. Step 6: Final answer
    x = 1,475,652.32

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Why These Related Problems?

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