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Finding the Third Proportional to 531,976 and 1,137,680

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Solution

The third proportional to 531,976 and 1,137,680 is: 2,433,034.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,976 : 1,137,680 = 1,137,680 : x
  2. Step 2: Convert to fraction form
    531,976/1,137,680 = 1,137,680/x
  3. Step 3: Cross multiply
    531,976x = 1,137,680 × 1,137,680
  4. Step 4: Simplify right side
    531,976x = 1,294,315,782,400
  5. Step 5: Solve for x
    x = 1,294,315,782,400/531,976
  6. Step 6: Final answer
    x = 2,433,034.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.