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Finding the Third Proportional to 754,158 and 1,054,920

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Solution

The third proportional to 754,158 and 1,054,920 is: 1,475,627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,158 : 1,054,920 = 1,054,920 : x
  2. Step 2: Convert to fraction form
    754,158/1,054,920 = 1,054,920/x
  3. Step 3: Cross multiply
    754,158x = 1,054,920 × 1,054,920
  4. Step 4: Simplify right side
    754,158x = 1,112,856,206,400
  5. Step 5: Solve for x
    x = 1,112,856,206,400/754,158
  6. Step 6: Final answer
    x = 1,475,627.40

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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.