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Finding the Third Proportional to 689,632 and 1,063,520

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Solution

The third proportional to 689,632 and 1,063,520 is: 1,640,113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,632 : 1,063,520 = 1,063,520 : x
  2. Step 2: Convert to fraction form
    689,632/1,063,520 = 1,063,520/x
  3. Step 3: Cross multiply
    689,632x = 1,063,520 × 1,063,520
  4. Step 4: Simplify right side
    689,632x = 1,131,074,790,400
  5. Step 5: Solve for x
    x = 1,131,074,790,400/689,632
  6. Step 6: Final answer
    x = 1,640,113.55

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