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Finding the Third Proportional to 1,211,022 and 1,645,397

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Solution

The third proportional to 1,211,022 and 1,645,397 is: 2,235,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,022 : 1,645,397 = 1,645,397 : x
  2. Step 2: Convert to fraction form
    1,211,022/1,645,397 = 1,645,397/x
  3. Step 3: Cross multiply
    1,211,022x = 1,645,397 × 1,645,397
  4. Step 4: Simplify right side
    1,211,022x = 2,707,331,287,609
  5. Step 5: Solve for x
    x = 2,707,331,287,609/1,211,022
  6. Step 6: Final answer
    x = 2,235,575.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.