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Finding the Third Proportional to 635,476 and 933,756

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Solution

The third proportional to 635,476 and 933,756 is: 1,372,042.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,476 : 933,756 = 933,756 : x
  2. Step 2: Convert to fraction form
    635,476/933,756 = 933,756/x
  3. Step 3: Cross multiply
    635,476x = 933,756 × 933,756
  4. Step 4: Simplify right side
    635,476x = 871,900,267,536
  5. Step 5: Solve for x
    x = 871,900,267,536/635,476
  6. Step 6: Final answer
    x = 1,372,042.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.