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Finding the Third Proportional to 499,738 and 1,098,984

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Solution

The third proportional to 499,738 and 1,098,984 is: 2,416,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,738 : 1,098,984 = 1,098,984 : x
  2. Step 2: Convert to fraction form
    499,738/1,098,984 = 1,098,984/x
  3. Step 3: Cross multiply
    499,738x = 1,098,984 × 1,098,984
  4. Step 4: Simplify right side
    499,738x = 1,207,765,832,256
  5. Step 5: Solve for x
    x = 1,207,765,832,256/499,738
  6. Step 6: Final answer
    x = 2,416,798.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.