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Finding the Third Proportional to 826,630 and 1,170,001

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Solution

The third proportional to 826,630 and 1,170,001 is: 1,656,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,630 : 1,170,001 = 1,170,001 : x
  2. Step 2: Convert to fraction form
    826,630/1,170,001 = 1,170,001/x
  3. Step 3: Cross multiply
    826,630x = 1,170,001 × 1,170,001
  4. Step 4: Simplify right side
    826,630x = 1,368,902,340,001
  5. Step 5: Solve for x
    x = 1,368,902,340,001/826,630
  6. Step 6: Final answer
    x = 1,656,003.70

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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.