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Finding the Third Proportional to 961,496.25 and 2,051,707.50

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Solution

The third proportional to 961,496.25 and 2,051,707.50 is: 4,378,076.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,496.25 : 2,051,707.50 = 2,051,707.50 : x
  2. Step 2: Convert to fraction form
    961,496.25/2,051,707.50 = 2,051,707.50/x
  3. Step 3: Cross multiply
    961,496.25x = 2,051,707.50 × 2,051,707.50
  4. Step 4: Simplify right side
    961,496.25x = 4,209,503,665,556.25
  5. Step 5: Solve for x
    x = 4,209,503,665,556.25/961,496.25
  6. Step 6: Final answer
    x = 4,378,076.01

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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.