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Finding the Third Proportional to 811,361 and 1,284,769.50

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Solution

The third proportional to 811,361 and 1,284,769.50 is: 2,034,399.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,361 : 1,284,769.50 = 1,284,769.50 : x
  2. Step 2: Convert to fraction form
    811,361/1,284,769.50 = 1,284,769.50/x
  3. Step 3: Cross multiply
    811,361x = 1,284,769.50 × 1,284,769.50
  4. Step 4: Simplify right side
    811,361x = 1,650,632,668,130.25
  5. Step 5: Solve for x
    x = 1,650,632,668,130.25/811,361
  6. Step 6: Final answer
    x = 2,034,399.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.