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Finding the Third Proportional to 658,804 and 1,438,082

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Solution

The third proportional to 658,804 and 1,438,082 is: 3,139,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,804 : 1,438,082 = 1,438,082 : x
  2. Step 2: Convert to fraction form
    658,804/1,438,082 = 1,438,082/x
  3. Step 3: Cross multiply
    658,804x = 1,438,082 × 1,438,082
  4. Step 4: Simplify right side
    658,804x = 2,068,079,838,724
  5. Step 5: Solve for x
    x = 2,068,079,838,724/658,804
  6. Step 6: Final answer
    x = 3,139,142.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.