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Finding the Third Proportional to 746,949 and 1,129,314

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Solution

The third proportional to 746,949 and 1,129,314 is: 1,707,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,949 : 1,129,314 = 1,129,314 : x
  2. Step 2: Convert to fraction form
    746,949/1,129,314 = 1,129,314/x
  3. Step 3: Cross multiply
    746,949x = 1,129,314 × 1,129,314
  4. Step 4: Simplify right side
    746,949x = 1,275,350,110,596
  5. Step 5: Solve for x
    x = 1,275,350,110,596/746,949
  6. Step 6: Final answer
    x = 1,707,412.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.