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Finding the Third Proportional to 656,647 and 943,498

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Solution

The third proportional to 656,647 and 943,498 is: 1,355,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,647 : 943,498 = 943,498 : x
  2. Step 2: Convert to fraction form
    656,647/943,498 = 943,498/x
  3. Step 3: Cross multiply
    656,647x = 943,498 × 943,498
  4. Step 4: Simplify right side
    656,647x = 890,188,476,004
  5. Step 5: Solve for x
    x = 890,188,476,004/656,647
  6. Step 6: Final answer
    x = 1,355,657.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.