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Finding the Third Proportional to 1,900,299.23 and 4,099,532.77

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Solution

The third proportional to 1,900,299.23 and 4,099,532.77 is: 8,843,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900,299.23 : 4,099,532.77 = 4,099,532.77 : x
  2. Step 2: Convert to fraction form
    1,900,299.23/4,099,532.77 = 4,099,532.77/x
  3. Step 3: Cross multiply
    1,900,299.23x = 4,099,532.77 × 4,099,532.77
  4. Step 4: Simplify right side
    1,900,299.23x = 16,806,168,896,432.96
  5. Step 5: Solve for x
    x = 16,806,168,896,432.96/1,900,299.23
  6. Step 6: Final answer
    x = 8,843,959.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.