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Finding the Third Proportional to 773,206 and 1,156,209

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Solution

The third proportional to 773,206 and 1,156,209 is: 1,728,930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,206 : 1,156,209 = 1,156,209 : x
  2. Step 2: Convert to fraction form
    773,206/1,156,209 = 1,156,209/x
  3. Step 3: Cross multiply
    773,206x = 1,156,209 × 1,156,209
  4. Step 4: Simplify right side
    773,206x = 1,336,819,251,681
  5. Step 5: Solve for x
    x = 1,336,819,251,681/773,206
  6. Step 6: Final answer
    x = 1,728,930.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.