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Finding the Third Proportional to 533,240 and 1,155,042

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Solution

The third proportional to 533,240 and 1,155,042 is: 2,501,916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,240 : 1,155,042 = 1,155,042 : x
  2. Step 2: Convert to fraction form
    533,240/1,155,042 = 1,155,042/x
  3. Step 3: Cross multiply
    533,240x = 1,155,042 × 1,155,042
  4. Step 4: Simplify right side
    533,240x = 1,334,122,021,764
  5. Step 5: Solve for x
    x = 1,334,122,021,764/533,240
  6. Step 6: Final answer
    x = 2,501,916.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.