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Finding the Third Proportional to 502,047 and 1,085,672

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Solution

The third proportional to 502,047 and 1,085,672 is: 2,347,755.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,047 : 1,085,672 = 1,085,672 : x
  2. Step 2: Convert to fraction form
    502,047/1,085,672 = 1,085,672/x
  3. Step 3: Cross multiply
    502,047x = 1,085,672 × 1,085,672
  4. Step 4: Simplify right side
    502,047x = 1,178,683,691,584
  5. Step 5: Solve for x
    x = 1,178,683,691,584/502,047
  6. Step 6: Final answer
    x = 2,347,755.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.