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Finding the Third Proportional to 733,947 and 1,134,321

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Solution

The third proportional to 733,947 and 1,134,321 is: 1,753,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,947 : 1,134,321 = 1,134,321 : x
  2. Step 2: Convert to fraction form
    733,947/1,134,321 = 1,134,321/x
  3. Step 3: Cross multiply
    733,947x = 1,134,321 × 1,134,321
  4. Step 4: Simplify right side
    733,947x = 1,286,684,131,041
  5. Step 5: Solve for x
    x = 1,286,684,131,041/733,947
  6. Step 6: Final answer
    x = 1,753,102.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.