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Finding the Third Proportional to 492,124.68 and 1,023,533.72

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Solution

The third proportional to 492,124.68 and 1,023,533.72 is: 2,128,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,124.68 : 1,023,533.72 = 1,023,533.72 : x
  2. Step 2: Convert to fraction form
    492,124.68/1,023,533.72 = 1,023,533.72/x
  3. Step 3: Cross multiply
    492,124.68x = 1,023,533.72 × 1,023,533.72
  4. Step 4: Simplify right side
    492,124.68x = 1,047,621,273,418.20
  5. Step 5: Solve for x
    x = 1,047,621,273,418.20/492,124.68
  6. Step 6: Final answer
    x = 2,128,772.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.