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Finding the Third Proportional to 929,137.50 and 1,969,920

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Solution

The third proportional to 929,137.50 and 1,969,920 is: 4,176,545.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,137.50 : 1,969,920 = 1,969,920 : x
  2. Step 2: Convert to fraction form
    929,137.50/1,969,920 = 1,969,920/x
  3. Step 3: Cross multiply
    929,137.50x = 1,969,920 × 1,969,920
  4. Step 4: Simplify right side
    929,137.50x = 3,880,584,806,400
  5. Step 5: Solve for x
    x = 3,880,584,806,400/929,137.50
  6. Step 6: Final answer
    x = 4,176,545.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.