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Finding the Third Proportional to 701,406 and 1,084,845

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Solution

The third proportional to 701,406 and 1,084,845 is: 1,677,899.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,406 : 1,084,845 = 1,084,845 : x
  2. Step 2: Convert to fraction form
    701,406/1,084,845 = 1,084,845/x
  3. Step 3: Cross multiply
    701,406x = 1,084,845 × 1,084,845
  4. Step 4: Simplify right side
    701,406x = 1,176,888,674,025
  5. Step 5: Solve for x
    x = 1,176,888,674,025/701,406
  6. Step 6: Final answer
    x = 1,677,899.35

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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.