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Finding the Third Proportional to 685,374 and 1,475,772

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Solution

The third proportional to 685,374 and 1,475,772 is: 3,177,685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,374 : 1,475,772 = 1,475,772 : x
  2. Step 2: Convert to fraction form
    685,374/1,475,772 = 1,475,772/x
  3. Step 3: Cross multiply
    685,374x = 1,475,772 × 1,475,772
  4. Step 4: Simplify right side
    685,374x = 2,177,902,995,984
  5. Step 5: Solve for x
    x = 2,177,902,995,984/685,374
  6. Step 6: Final answer
    x = 3,177,685.46

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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.