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Finding the Third Proportional to 624,084 and 941,637

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Solution

The third proportional to 624,084 and 941,637 is: 1,420,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,084 : 941,637 = 941,637 : x
  2. Step 2: Convert to fraction form
    624,084/941,637 = 941,637/x
  3. Step 3: Cross multiply
    624,084x = 941,637 × 941,637
  4. Step 4: Simplify right side
    624,084x = 886,680,239,769
  5. Step 5: Solve for x
    x = 886,680,239,769/624,084
  6. Step 6: Final answer
    x = 1,420,770.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.