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Finding the Third Proportional to 748,082 and 1,601,212

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Solution

The third proportional to 748,082 and 1,601,212 is: 3,427,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,082 : 1,601,212 = 1,601,212 : x
  2. Step 2: Convert to fraction form
    748,082/1,601,212 = 1,601,212/x
  3. Step 3: Cross multiply
    748,082x = 1,601,212 × 1,601,212
  4. Step 4: Simplify right side
    748,082x = 2,563,879,868,944
  5. Step 5: Solve for x
    x = 2,563,879,868,944/748,082
  6. Step 6: Final answer
    x = 3,427,271.17

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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.