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Finding the Third Proportional to 465,954 and 1,019,143

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Solution

The third proportional to 465,954 and 1,019,143 is: 2,229,087.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,954 : 1,019,143 = 1,019,143 : x
  2. Step 2: Convert to fraction form
    465,954/1,019,143 = 1,019,143/x
  3. Step 3: Cross multiply
    465,954x = 1,019,143 × 1,019,143
  4. Step 4: Simplify right side
    465,954x = 1,038,652,454,449
  5. Step 5: Solve for x
    x = 1,038,652,454,449/465,954
  6. Step 6: Final answer
    x = 2,229,087.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.