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Finding the Third Proportional to 709,236 and 1,090,098

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Solution

The third proportional to 709,236 and 1,090,098 is: 1,675,484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,236 : 1,090,098 = 1,090,098 : x
  2. Step 2: Convert to fraction form
    709,236/1,090,098 = 1,090,098/x
  3. Step 3: Cross multiply
    709,236x = 1,090,098 × 1,090,098
  4. Step 4: Simplify right side
    709,236x = 1,188,313,649,604
  5. Step 5: Solve for x
    x = 1,188,313,649,604/709,236
  6. Step 6: Final answer
    x = 1,675,484.11

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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.