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Finding the Third Proportional to 633,186 and 1,331,973

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Solution

The third proportional to 633,186 and 1,331,973 is: 2,801,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,186 : 1,331,973 = 1,331,973 : x
  2. Step 2: Convert to fraction form
    633,186/1,331,973 = 1,331,973/x
  3. Step 3: Cross multiply
    633,186x = 1,331,973 × 1,331,973
  4. Step 4: Simplify right side
    633,186x = 1,774,152,072,729
  5. Step 5: Solve for x
    x = 1,774,152,072,729/633,186
  6. Step 6: Final answer
    x = 2,801,944.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.