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Finding the Third Proportional to 806,082 and 1,225,161

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Solution

The third proportional to 806,082 and 1,225,161 is: 1,862,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,082 : 1,225,161 = 1,225,161 : x
  2. Step 2: Convert to fraction form
    806,082/1,225,161 = 1,225,161/x
  3. Step 3: Cross multiply
    806,082x = 1,225,161 × 1,225,161
  4. Step 4: Simplify right side
    806,082x = 1,501,019,475,921
  5. Step 5: Solve for x
    x = 1,501,019,475,921/806,082
  6. Step 6: Final answer
    x = 1,862,117.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.