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Finding the Third Proportional to 685,412 and 1,475,848

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Solution

The third proportional to 685,412 and 1,475,848 is: 3,177,836.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,412 : 1,475,848 = 1,475,848 : x
  2. Step 2: Convert to fraction form
    685,412/1,475,848 = 1,475,848/x
  3. Step 3: Cross multiply
    685,412x = 1,475,848 × 1,475,848
  4. Step 4: Simplify right side
    685,412x = 2,178,127,319,104
  5. Step 5: Solve for x
    x = 2,178,127,319,104/685,412
  6. Step 6: Final answer
    x = 3,177,836.57

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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.