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Finding the Third Proportional to 820,313 and 1,283,899

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Solution

The third proportional to 820,313 and 1,283,899 is: 2,009,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,313 : 1,283,899 = 1,283,899 : x
  2. Step 2: Convert to fraction form
    820,313/1,283,899 = 1,283,899/x
  3. Step 3: Cross multiply
    820,313x = 1,283,899 × 1,283,899
  4. Step 4: Simplify right side
    820,313x = 1,648,396,642,201
  5. Step 5: Solve for x
    x = 1,648,396,642,201/820,313
  6. Step 6: Final answer
    x = 2,009,472.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.