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Finding the Third Proportional to 734,270 and 1,143,286

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Solution

The third proportional to 734,270 and 1,143,286 is: 1,780,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,270 : 1,143,286 = 1,143,286 : x
  2. Step 2: Convert to fraction form
    734,270/1,143,286 = 1,143,286/x
  3. Step 3: Cross multiply
    734,270x = 1,143,286 × 1,143,286
  4. Step 4: Simplify right side
    734,270x = 1,307,102,877,796
  5. Step 5: Solve for x
    x = 1,307,102,877,796/734,270
  6. Step 6: Final answer
    x = 1,780,139.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.