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Finding the Third Proportional to 442,812 and 930,237

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Solution

The third proportional to 442,812 and 930,237 is: 1,954,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,812 : 930,237 = 930,237 : x
  2. Step 2: Convert to fraction form
    442,812/930,237 = 930,237/x
  3. Step 3: Cross multiply
    442,812x = 930,237 × 930,237
  4. Step 4: Simplify right side
    442,812x = 865,340,876,169
  5. Step 5: Solve for x
    x = 865,340,876,169/442,812
  6. Step 6: Final answer
    x = 1,954,194.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.