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Finding the Third Proportional to 746,268 and 1,183,582

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Solution

The third proportional to 746,268 and 1,183,582 is: 1,877,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,268 : 1,183,582 = 1,183,582 : x
  2. Step 2: Convert to fraction form
    746,268/1,183,582 = 1,183,582/x
  3. Step 3: Cross multiply
    746,268x = 1,183,582 × 1,183,582
  4. Step 4: Simplify right side
    746,268x = 1,400,866,350,724
  5. Step 5: Solve for x
    x = 1,400,866,350,724/746,268
  6. Step 6: Final answer
    x = 1,877,162.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.