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Finding the Third Proportional to 486,472.50 and 1,036,090.50

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Solution

The third proportional to 486,472.50 and 1,036,090.50 is: 2,206,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,472.50 : 1,036,090.50 = 1,036,090.50 : x
  2. Step 2: Convert to fraction form
    486,472.50/1,036,090.50 = 1,036,090.50/x
  3. Step 3: Cross multiply
    486,472.50x = 1,036,090.50 × 1,036,090.50
  4. Step 4: Simplify right side
    486,472.50x = 1,073,483,524,190.25
  5. Step 5: Solve for x
    x = 1,073,483,524,190.25/486,472.50
  6. Step 6: Final answer
    x = 2,206,668.46

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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.