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Finding the Third Proportional to 983,423.50 and 1,484,180.75

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Solution

The third proportional to 983,423.50 and 1,484,180.75 is: 2,239,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,423.50 : 1,484,180.75 = 1,484,180.75 : x
  2. Step 2: Convert to fraction form
    983,423.50/1,484,180.75 = 1,484,180.75/x
  3. Step 3: Cross multiply
    983,423.50x = 1,484,180.75 × 1,484,180.75
  4. Step 4: Simplify right side
    983,423.50x = 2,202,792,498,670.56
  5. Step 5: Solve for x
    x = 2,202,792,498,670.56/983,423.50
  6. Step 6: Final answer
    x = 2,239,922.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.