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Finding the Third Proportional to 494,019 and 1,009,543.50

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Solution

The third proportional to 494,019 and 1,009,543.50 is: 2,063,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,019 : 1,009,543.50 = 1,009,543.50 : x
  2. Step 2: Convert to fraction form
    494,019/1,009,543.50 = 1,009,543.50/x
  3. Step 3: Cross multiply
    494,019x = 1,009,543.50 × 1,009,543.50
  4. Step 4: Simplify right side
    494,019x = 1,019,178,078,392.25
  5. Step 5: Solve for x
    x = 1,019,178,078,392.25/494,019
  6. Step 6: Final answer
    x = 2,063,034.17

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.