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Finding the Third Proportional to 414,902 and 905,202

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Solution

The third proportional to 414,902 and 905,202 is: 1,974,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,902 : 905,202 = 905,202 : x
  2. Step 2: Convert to fraction form
    414,902/905,202 = 905,202/x
  3. Step 3: Cross multiply
    414,902x = 905,202 × 905,202
  4. Step 4: Simplify right side
    414,902x = 819,390,660,804
  5. Step 5: Solve for x
    x = 819,390,660,804/414,902
  6. Step 6: Final answer
    x = 1,974,901.69

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Why These Related Problems?

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