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Finding the Third Proportional to 826,032 and 1,696,530

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Solution

The third proportional to 826,032 and 1,696,530 is: 3,484,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,032 : 1,696,530 = 1,696,530 : x
  2. Step 2: Convert to fraction form
    826,032/1,696,530 = 1,696,530/x
  3. Step 3: Cross multiply
    826,032x = 1,696,530 × 1,696,530
  4. Step 4: Simplify right side
    826,032x = 2,878,214,040,900
  5. Step 5: Solve for x
    x = 2,878,214,040,900/826,032
  6. Step 6: Final answer
    x = 3,484,385.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.