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Finding the Third Proportional to 499,563 and 1,078,884

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Solution

The third proportional to 499,563 and 1,078,884 is: 2,330,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,563 : 1,078,884 = 1,078,884 : x
  2. Step 2: Convert to fraction form
    499,563/1,078,884 = 1,078,884/x
  3. Step 3: Cross multiply
    499,563x = 1,078,884 × 1,078,884
  4. Step 4: Simplify right side
    499,563x = 1,163,990,685,456
  5. Step 5: Solve for x
    x = 1,163,990,685,456/499,563
  6. Step 6: Final answer
    x = 2,330,017.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.