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Finding the Third Proportional to 465,994.50 and 999,957

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Solution

The third proportional to 465,994.50 and 999,957 is: 2,145,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,994.50 : 999,957 = 999,957 : x
  2. Step 2: Convert to fraction form
    465,994.50/999,957 = 999,957/x
  3. Step 3: Cross multiply
    465,994.50x = 999,957 × 999,957
  4. Step 4: Simplify right side
    465,994.50x = 999,914,001,849
  5. Step 5: Solve for x
    x = 999,914,001,849/465,994.50
  6. Step 6: Final answer
    x = 2,145,763.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.