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Finding the Third Proportional to 869,264 and 1,383,164

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Solution

The third proportional to 869,264 and 1,383,164 is: 2,200,876.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,264 : 1,383,164 = 1,383,164 : x
  2. Step 2: Convert to fraction form
    869,264/1,383,164 = 1,383,164/x
  3. Step 3: Cross multiply
    869,264x = 1,383,164 × 1,383,164
  4. Step 4: Simplify right side
    869,264x = 1,913,142,650,896
  5. Step 5: Solve for x
    x = 1,913,142,650,896/869,264
  6. Step 6: Final answer
    x = 2,200,876.43

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.