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Finding the Third Proportional to 641,010 and 1,367,816

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Solution

The third proportional to 641,010 and 1,367,816 is: 2,918,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,010 : 1,367,816 = 1,367,816 : x
  2. Step 2: Convert to fraction form
    641,010/1,367,816 = 1,367,816/x
  3. Step 3: Cross multiply
    641,010x = 1,367,816 × 1,367,816
  4. Step 4: Simplify right side
    641,010x = 1,870,920,609,856
  5. Step 5: Solve for x
    x = 1,870,920,609,856/641,010
  6. Step 6: Final answer
    x = 2,918,707.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.