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Finding the Third Proportional to 711,456 and 1,085,256

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Solution

The third proportional to 711,456 and 1,085,256 is: 1,655,451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,456 : 1,085,256 = 1,085,256 : x
  2. Step 2: Convert to fraction form
    711,456/1,085,256 = 1,085,256/x
  3. Step 3: Cross multiply
    711,456x = 1,085,256 × 1,085,256
  4. Step 4: Simplify right side
    711,456x = 1,177,780,585,536
  5. Step 5: Solve for x
    x = 1,177,780,585,536/711,456
  6. Step 6: Final answer
    x = 1,655,451.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.