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Finding the Third Proportional to 785,110 and 1,245,247

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Solution

The third proportional to 785,110 and 1,245,247 is: 1,975,060.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,110 : 1,245,247 = 1,245,247 : x
  2. Step 2: Convert to fraction form
    785,110/1,245,247 = 1,245,247/x
  3. Step 3: Cross multiply
    785,110x = 1,245,247 × 1,245,247
  4. Step 4: Simplify right side
    785,110x = 1,550,640,091,009
  5. Step 5: Solve for x
    x = 1,550,640,091,009/785,110
  6. Step 6: Final answer
    x = 1,975,060.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.