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Finding the Third Proportional to 499,884 and 1,073,640

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Solution

The third proportional to 499,884 and 1,073,640 is: 2,305,940.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,884 : 1,073,640 = 1,073,640 : x
  2. Step 2: Convert to fraction form
    499,884/1,073,640 = 1,073,640/x
  3. Step 3: Cross multiply
    499,884x = 1,073,640 × 1,073,640
  4. Step 4: Simplify right side
    499,884x = 1,152,702,849,600
  5. Step 5: Solve for x
    x = 1,152,702,849,600/499,884
  6. Step 6: Final answer
    x = 2,305,940.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.