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Finding the Third Proportional to 624,928 and 1,294,144

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Solution

The third proportional to 624,928 and 1,294,144 is: 2,680,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,928 : 1,294,144 = 1,294,144 : x
  2. Step 2: Convert to fraction form
    624,928/1,294,144 = 1,294,144/x
  3. Step 3: Cross multiply
    624,928x = 1,294,144 × 1,294,144
  4. Step 4: Simplify right side
    624,928x = 1,674,808,692,736
  5. Step 5: Solve for x
    x = 1,674,808,692,736/624,928
  6. Step 6: Final answer
    x = 2,680,002.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.