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Finding the Third Proportional to 641,011 and 1,367,817

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Solution

The third proportional to 641,011 and 1,367,817 is: 2,918,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,011 : 1,367,817 = 1,367,817 : x
  2. Step 2: Convert to fraction form
    641,011/1,367,817 = 1,367,817/x
  3. Step 3: Cross multiply
    641,011x = 1,367,817 × 1,367,817
  4. Step 4: Simplify right side
    641,011x = 1,870,923,345,489
  5. Step 5: Solve for x
    x = 1,870,923,345,489/641,011
  6. Step 6: Final answer
    x = 2,918,707.08

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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.