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Finding the Third Proportional to 510,573.38 and 1,099,918.62

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Solution

The third proportional to 510,573.38 and 1,099,918.62 is: 2,369,533.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,573.38 : 1,099,918.62 = 1,099,918.62 : x
  2. Step 2: Convert to fraction form
    510,573.38/1,099,918.62 = 1,099,918.62/x
  3. Step 3: Cross multiply
    510,573.38x = 1,099,918.62 × 1,099,918.62
  4. Step 4: Simplify right side
    510,573.38x = 1,209,820,964,435.66
  5. Step 5: Solve for x
    x = 1,209,820,964,435.66/510,573.38
  6. Step 6: Final answer
    x = 2,369,533.99

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