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Finding the Third Proportional to 829,608 and 1,819,920

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Solution

The third proportional to 829,608 and 1,819,920 is: 3,992,378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,608 : 1,819,920 = 1,819,920 : x
  2. Step 2: Convert to fraction form
    829,608/1,819,920 = 1,819,920/x
  3. Step 3: Cross multiply
    829,608x = 1,819,920 × 1,819,920
  4. Step 4: Simplify right side
    829,608x = 3,312,108,806,400
  5. Step 5: Solve for x
    x = 3,312,108,806,400/829,608
  6. Step 6: Final answer
    x = 3,992,378.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.