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Finding the Third Proportional to 701,680 and 1,476,713

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Solution

The third proportional to 701,680 and 1,476,713 is: 3,107,800.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,680 : 1,476,713 = 1,476,713 : x
  2. Step 2: Convert to fraction form
    701,680/1,476,713 = 1,476,713/x
  3. Step 3: Cross multiply
    701,680x = 1,476,713 × 1,476,713
  4. Step 4: Simplify right side
    701,680x = 2,180,681,284,369
  5. Step 5: Solve for x
    x = 2,180,681,284,369/701,680
  6. Step 6: Final answer
    x = 3,107,800.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.