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Finding the Third Proportional to 420,553.31 and 912,093

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Solution

The third proportional to 420,553.31 and 912,093 is: 1,978,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,553.31 : 912,093 = 912,093 : x
  2. Step 2: Convert to fraction form
    420,553.31/912,093 = 912,093/x
  3. Step 3: Cross multiply
    420,553.31x = 912,093 × 912,093
  4. Step 4: Simplify right side
    420,553.31x = 831,913,640,649
  5. Step 5: Solve for x
    x = 831,913,640,649/420,553.31
  6. Step 6: Final answer
    x = 1,978,140.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.