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Finding the Third Proportional to 763,577 and 1,645,171

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Solution

The third proportional to 763,577 and 1,645,171 is: 3,544,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,577 : 1,645,171 = 1,645,171 : x
  2. Step 2: Convert to fraction form
    763,577/1,645,171 = 1,645,171/x
  3. Step 3: Cross multiply
    763,577x = 1,645,171 × 1,645,171
  4. Step 4: Simplify right side
    763,577x = 2,706,587,619,241
  5. Step 5: Solve for x
    x = 2,706,587,619,241/763,577
  6. Step 6: Final answer
    x = 3,544,616.48

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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.