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Finding the Third Proportional to 709,238 and 1,090,101

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Solution

The third proportional to 709,238 and 1,090,101 is: 1,675,488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,238 : 1,090,101 = 1,090,101 : x
  2. Step 2: Convert to fraction form
    709,238/1,090,101 = 1,090,101/x
  3. Step 3: Cross multiply
    709,238x = 1,090,101 × 1,090,101
  4. Step 4: Simplify right side
    709,238x = 1,188,320,190,201
  5. Step 5: Solve for x
    x = 1,188,320,190,201/709,238
  6. Step 6: Final answer
    x = 1,675,488.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.