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Finding the Third Proportional to 492,018.75 and 1,065,645

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Solution

The third proportional to 492,018.75 and 1,065,645 is: 2,308,040.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,018.75 : 1,065,645 = 1,065,645 : x
  2. Step 2: Convert to fraction form
    492,018.75/1,065,645 = 1,065,645/x
  3. Step 3: Cross multiply
    492,018.75x = 1,065,645 × 1,065,645
  4. Step 4: Simplify right side
    492,018.75x = 1,135,599,266,025
  5. Step 5: Solve for x
    x = 1,135,599,266,025/492,018.75
  6. Step 6: Final answer
    x = 2,308,040.63

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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.