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Finding the Third Proportional to 701,696 and 1,088,496

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Solution

The third proportional to 701,696 and 1,088,496 is: 1,688,514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,696 : 1,088,496 = 1,088,496 : x
  2. Step 2: Convert to fraction form
    701,696/1,088,496 = 1,088,496/x
  3. Step 3: Cross multiply
    701,696x = 1,088,496 × 1,088,496
  4. Step 4: Simplify right side
    701,696x = 1,184,823,542,016
  5. Step 5: Solve for x
    x = 1,184,823,542,016/701,696
  6. Step 6: Final answer
    x = 1,688,514.03

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