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Finding the Third Proportional to 686,508 and 1,420,752

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Solution

The third proportional to 686,508 and 1,420,752 is: 2,940,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,508 : 1,420,752 = 1,420,752 : x
  2. Step 2: Convert to fraction form
    686,508/1,420,752 = 1,420,752/x
  3. Step 3: Cross multiply
    686,508x = 1,420,752 × 1,420,752
  4. Step 4: Simplify right side
    686,508x = 2,018,536,245,504
  5. Step 5: Solve for x
    x = 2,018,536,245,504/686,508
  6. Step 6: Final answer
    x = 2,940,295.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.