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Finding the Third Proportional to 426,592 and 933,536

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Solution

The third proportional to 426,592 and 933,536 is: 2,042,910.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,592 : 933,536 = 933,536 : x
  2. Step 2: Convert to fraction form
    426,592/933,536 = 933,536/x
  3. Step 3: Cross multiply
    426,592x = 933,536 × 933,536
  4. Step 4: Simplify right side
    426,592x = 871,489,463,296
  5. Step 5: Solve for x
    x = 871,489,463,296/426,592
  6. Step 6: Final answer
    x = 2,042,910.94

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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.