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Finding the Third Proportional to 606,940 and 943,009

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Solution

The third proportional to 606,940 and 943,009 is: 1,465,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,940 : 943,009 = 943,009 : x
  2. Step 2: Convert to fraction form
    606,940/943,009 = 943,009/x
  3. Step 3: Cross multiply
    606,940x = 943,009 × 943,009
  4. Step 4: Simplify right side
    606,940x = 889,265,974,081
  5. Step 5: Solve for x
    x = 889,265,974,081/606,940
  6. Step 6: Final answer
    x = 1,465,162.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.