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Finding the Third Proportional to 811,606 and 1,745,313

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Solution

The third proportional to 811,606 and 1,745,313 is: 3,753,197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,606 : 1,745,313 = 1,745,313 : x
  2. Step 2: Convert to fraction form
    811,606/1,745,313 = 1,745,313/x
  3. Step 3: Cross multiply
    811,606x = 1,745,313 × 1,745,313
  4. Step 4: Simplify right side
    811,606x = 3,046,117,467,969
  5. Step 5: Solve for x
    x = 3,046,117,467,969/811,606
  6. Step 6: Final answer
    x = 3,753,197.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.