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Finding the Third Proportional to 1,010,834.44 and 2,198,815.88

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Solution

The third proportional to 1,010,834.44 and 2,198,815.88 is: 4,782,970.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,834.44 : 2,198,815.88 = 2,198,815.88 : x
  2. Step 2: Convert to fraction form
    1,010,834.44/2,198,815.88 = 2,198,815.88/x
  3. Step 3: Cross multiply
    1,010,834.44x = 2,198,815.88 × 2,198,815.88
  4. Step 4: Simplify right side
    1,010,834.44x = 4,834,791,252,152.02
  5. Step 5: Solve for x
    x = 4,834,791,252,152.02/1,010,834.44
  6. Step 6: Final answer
    x = 4,782,970.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.