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Finding the Third Proportional to 426,530 and 933,412

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Solution

The third proportional to 426,530 and 933,412 is: 2,042,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,530 : 933,412 = 933,412 : x
  2. Step 2: Convert to fraction form
    426,530/933,412 = 933,412/x
  3. Step 3: Cross multiply
    426,530x = 933,412 × 933,412
  4. Step 4: Simplify right side
    426,530x = 871,257,961,744
  5. Step 5: Solve for x
    x = 871,257,961,744/426,530
  6. Step 6: Final answer
    x = 2,042,665.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.