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Finding the Third Proportional to 537,966 and 805,815

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Solution

The third proportional to 537,966 and 805,815 is: 1,207,023.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,966 : 805,815 = 805,815 : x
  2. Step 2: Convert to fraction form
    537,966/805,815 = 805,815/x
  3. Step 3: Cross multiply
    537,966x = 805,815 × 805,815
  4. Step 4: Simplify right side
    537,966x = 649,337,814,225
  5. Step 5: Solve for x
    x = 649,337,814,225/537,966
  6. Step 6: Final answer
    x = 1,207,023.89

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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.