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Finding the Third Proportional to 826,678 and 1,170,073

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Solution

The third proportional to 826,678 and 1,170,073 is: 1,656,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,678 : 1,170,073 = 1,170,073 : x
  2. Step 2: Convert to fraction form
    826,678/1,170,073 = 1,170,073/x
  3. Step 3: Cross multiply
    826,678x = 1,170,073 × 1,170,073
  4. Step 4: Simplify right side
    826,678x = 1,369,070,825,329
  5. Step 5: Solve for x
    x = 1,369,070,825,329/826,678
  6. Step 6: Final answer
    x = 1,656,111.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.