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Finding the Third Proportional to 465,966 and 1,019,169

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Solution

The third proportional to 465,966 and 1,019,169 is: 2,229,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,966 : 1,019,169 = 1,019,169 : x
  2. Step 2: Convert to fraction form
    465,966/1,019,169 = 1,019,169/x
  3. Step 3: Cross multiply
    465,966x = 1,019,169 × 1,019,169
  4. Step 4: Simplify right side
    465,966x = 1,038,705,450,561
  5. Step 5: Solve for x
    x = 1,038,705,450,561/465,966
  6. Step 6: Final answer
    x = 2,229,144.29

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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.