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Finding the Third Proportional to 1,140,433.78 and 1,594,393.55

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Solution

The third proportional to 1,140,433.78 and 1,594,393.55 is: 2,229,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,433.78 : 1,594,393.55 = 1,594,393.55 : x
  2. Step 2: Convert to fraction form
    1,140,433.78/1,594,393.55 = 1,594,393.55/x
  3. Step 3: Cross multiply
    1,140,433.78x = 1,594,393.55 × 1,594,393.55
  4. Step 4: Simplify right side
    1,140,433.78x = 2,542,090,782,316.64
  5. Step 5: Solve for x
    x = 2,542,090,782,316.64/1,140,433.78
  6. Step 6: Final answer
    x = 2,229,056.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.