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Finding the Third Proportional to 811,597.22 and 1,745,294.34

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Solution

The third proportional to 811,597.22 and 1,745,294.34 is: 3,753,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,597.22 : 1,745,294.34 = 1,745,294.34 : x
  2. Step 2: Convert to fraction form
    811,597.22/1,745,294.34 = 1,745,294.34/x
  3. Step 3: Cross multiply
    811,597.22x = 1,745,294.34 × 1,745,294.34
  4. Step 4: Simplify right side
    811,597.22x = 3,046,052,346,325.74
  5. Step 5: Solve for x
    x = 3,046,052,346,325.74/811,597.22
  6. Step 6: Final answer
    x = 3,753,157.69

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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.