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Finding the Third Proportional to 531,082 and 1,146,680

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Solution

The third proportional to 531,082 and 1,146,680 is: 2,475,841.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,082 : 1,146,680 = 1,146,680 : x
  2. Step 2: Convert to fraction form
    531,082/1,146,680 = 1,146,680/x
  3. Step 3: Cross multiply
    531,082x = 1,146,680 × 1,146,680
  4. Step 4: Simplify right side
    531,082x = 1,314,875,022,400
  5. Step 5: Solve for x
    x = 1,314,875,022,400/531,082
  6. Step 6: Final answer
    x = 2,475,841.81

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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.