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Finding the Third Proportional to 433,953 and 934,497

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Solution

The third proportional to 433,953 and 934,497 is: 2,012,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,953 : 934,497 = 934,497 : x
  2. Step 2: Convert to fraction form
    433,953/934,497 = 934,497/x
  3. Step 3: Cross multiply
    433,953x = 934,497 × 934,497
  4. Step 4: Simplify right side
    433,953x = 873,284,643,009
  5. Step 5: Solve for x
    x = 873,284,643,009/433,953
  6. Step 6: Final answer
    x = 2,012,394.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.