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Finding the Third Proportional to 468,282 and 994,875

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Solution

The third proportional to 468,282 and 994,875 is: 2,113,632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,282 : 994,875 = 994,875 : x
  2. Step 2: Convert to fraction form
    468,282/994,875 = 994,875/x
  3. Step 3: Cross multiply
    468,282x = 994,875 × 994,875
  4. Step 4: Simplify right side
    468,282x = 989,776,265,625
  5. Step 5: Solve for x
    x = 989,776,265,625/468,282
  6. Step 6: Final answer
    x = 2,113,632.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.