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Finding the Third Proportional to 685,376 and 1,485,164

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Solution

The third proportional to 685,376 and 1,485,164 is: 3,218,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,376 : 1,485,164 = 1,485,164 : x
  2. Step 2: Convert to fraction form
    685,376/1,485,164 = 1,485,164/x
  3. Step 3: Cross multiply
    685,376x = 1,485,164 × 1,485,164
  4. Step 4: Simplify right side
    685,376x = 2,205,712,106,896
  5. Step 5: Solve for x
    x = 2,205,712,106,896/685,376
  6. Step 6: Final answer
    x = 3,218,251.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.