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Finding the Third Proportional to 961,505 and 1,392,649

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Solution

The third proportional to 961,505 and 1,392,649 is: 2,017,120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,505 : 1,392,649 = 1,392,649 : x
  2. Step 2: Convert to fraction form
    961,505/1,392,649 = 1,392,649/x
  3. Step 3: Cross multiply
    961,505x = 1,392,649 × 1,392,649
  4. Step 4: Simplify right side
    961,505x = 1,939,471,237,201
  5. Step 5: Solve for x
    x = 1,939,471,237,201/961,505
  6. Step 6: Final answer
    x = 2,017,120.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.