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Finding the Third Proportional to 712,264 and 1,450,912

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Solution

The third proportional to 712,264 and 1,450,912 is: 2,955,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,264 : 1,450,912 = 1,450,912 : x
  2. Step 2: Convert to fraction form
    712,264/1,450,912 = 1,450,912/x
  3. Step 3: Cross multiply
    712,264x = 1,450,912 × 1,450,912
  4. Step 4: Simplify right side
    712,264x = 2,105,145,631,744
  5. Step 5: Solve for x
    x = 2,105,145,631,744/712,264
  6. Step 6: Final answer
    x = 2,955,569.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.