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Finding the Third Proportional to 727,731 and 1,106,286

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Solution

The third proportional to 727,731 and 1,106,286 is: 1,681,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,731 : 1,106,286 = 1,106,286 : x
  2. Step 2: Convert to fraction form
    727,731/1,106,286 = 1,106,286/x
  3. Step 3: Cross multiply
    727,731x = 1,106,286 × 1,106,286
  4. Step 4: Simplify right side
    727,731x = 1,223,868,713,796
  5. Step 5: Solve for x
    x = 1,223,868,713,796/727,731
  6. Step 6: Final answer
    x = 1,681,759.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.