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Finding the Third Proportional to 670,347.50 and 1,428,394

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Solution

The third proportional to 670,347.50 and 1,428,394 is: 3,043,659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,347.50 : 1,428,394 = 1,428,394 : x
  2. Step 2: Convert to fraction form
    670,347.50/1,428,394 = 1,428,394/x
  3. Step 3: Cross multiply
    670,347.50x = 1,428,394 × 1,428,394
  4. Step 4: Simplify right side
    670,347.50x = 2,040,309,419,236
  5. Step 5: Solve for x
    x = 2,040,309,419,236/670,347.50
  6. Step 6: Final answer
    x = 3,043,659.32

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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.