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Finding the Third Proportional to 961,512 and 2,051,712.75

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Solution

The third proportional to 961,512 and 2,051,712.75 is: 4,378,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,512 : 2,051,712.75 = 2,051,712.75 : x
  2. Step 2: Convert to fraction form
    961,512/2,051,712.75 = 2,051,712.75/x
  3. Step 3: Cross multiply
    961,512x = 2,051,712.75 × 2,051,712.75
  4. Step 4: Simplify right side
    961,512x = 4,209,525,208,512.56
  5. Step 5: Solve for x
    x = 4,209,525,208,512.56/961,512
  6. Step 6: Final answer
    x = 4,378,026.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.