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Finding the Third Proportional to 492,237 and 1,073,412

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Solution

The third proportional to 492,237 and 1,073,412 is: 2,340,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,237 : 1,073,412 = 1,073,412 : x
  2. Step 2: Convert to fraction form
    492,237/1,073,412 = 1,073,412/x
  3. Step 3: Cross multiply
    492,237x = 1,073,412 × 1,073,412
  4. Step 4: Simplify right side
    492,237x = 1,152,213,321,744
  5. Step 5: Solve for x
    x = 1,152,213,321,744/492,237
  6. Step 6: Final answer
    x = 2,340,769.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.