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Finding the Third Proportional to 852,388 and 1,323,405

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Solution

The third proportional to 852,388 and 1,323,405 is: 2,054,699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,388 : 1,323,405 = 1,323,405 : x
  2. Step 2: Convert to fraction form
    852,388/1,323,405 = 1,323,405/x
  3. Step 3: Cross multiply
    852,388x = 1,323,405 × 1,323,405
  4. Step 4: Simplify right side
    852,388x = 1,751,400,794,025
  5. Step 5: Solve for x
    x = 1,751,400,794,025/852,388
  6. Step 6: Final answer
    x = 2,054,699.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.