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Finding the Third Proportional to 762,206 and 1,114,684

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Solution

The third proportional to 762,206 and 1,114,684 is: 1,630,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,206 : 1,114,684 = 1,114,684 : x
  2. Step 2: Convert to fraction form
    762,206/1,114,684 = 1,114,684/x
  3. Step 3: Cross multiply
    762,206x = 1,114,684 × 1,114,684
  4. Step 4: Simplify right side
    762,206x = 1,242,520,419,856
  5. Step 5: Solve for x
    x = 1,242,520,419,856/762,206
  6. Step 6: Final answer
    x = 1,630,163.53

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.