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Finding the Third Proportional to 685,562 and 1,485,536

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Solution

The third proportional to 685,562 and 1,485,536 is: 3,218,989.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,562 : 1,485,536 = 1,485,536 : x
  2. Step 2: Convert to fraction form
    685,562/1,485,536 = 1,485,536/x
  3. Step 3: Cross multiply
    685,562x = 1,485,536 × 1,485,536
  4. Step 4: Simplify right side
    685,562x = 2,206,817,207,296
  5. Step 5: Solve for x
    x = 2,206,817,207,296/685,562
  6. Step 6: Final answer
    x = 3,218,989.98

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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.