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Finding the Third Proportional to 905,296 and 1,984,688

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Solution

The third proportional to 905,296 and 1,984,688 is: 4,351,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,296 : 1,984,688 = 1,984,688 : x
  2. Step 2: Convert to fraction form
    905,296/1,984,688 = 1,984,688/x
  3. Step 3: Cross multiply
    905,296x = 1,984,688 × 1,984,688
  4. Step 4: Simplify right side
    905,296x = 3,938,986,457,344
  5. Step 5: Solve for x
    x = 3,938,986,457,344/905,296
  6. Step 6: Final answer
    x = 4,351,048.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.