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Finding the Third Proportional to 612,412 and 1,313,356

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Solution

The third proportional to 612,412 and 1,313,356 is: 2,816,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,412 : 1,313,356 = 1,313,356 : x
  2. Step 2: Convert to fraction form
    612,412/1,313,356 = 1,313,356/x
  3. Step 3: Cross multiply
    612,412x = 1,313,356 × 1,313,356
  4. Step 4: Simplify right side
    612,412x = 1,724,903,982,736
  5. Step 5: Solve for x
    x = 1,724,903,982,736/612,412
  6. Step 6: Final answer
    x = 2,816,574.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.