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Finding the Third Proportional to 536,356.69 and 1,157,788.69

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Solution

The third proportional to 536,356.69 and 1,157,788.69 is: 2,499,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,356.69 : 1,157,788.69 = 1,157,788.69 : x
  2. Step 2: Convert to fraction form
    536,356.69/1,157,788.69 = 1,157,788.69/x
  3. Step 3: Cross multiply
    536,356.69x = 1,157,788.69 × 1,157,788.69
  4. Step 4: Simplify right side
    536,356.69x = 1,340,474,644,902.97
  5. Step 5: Solve for x
    x = 1,340,474,644,902.97/536,356.69
  6. Step 6: Final answer
    x = 2,499,222.39

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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.