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Finding the Third Proportional to 502,814 and 1,099,627

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Solution

The third proportional to 502,814 and 1,099,627 is: 2,404,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,814 : 1,099,627 = 1,099,627 : x
  2. Step 2: Convert to fraction form
    502,814/1,099,627 = 1,099,627/x
  3. Step 3: Cross multiply
    502,814x = 1,099,627 × 1,099,627
  4. Step 4: Simplify right side
    502,814x = 1,209,179,539,129
  5. Step 5: Solve for x
    x = 1,209,179,539,129/502,814
  6. Step 6: Final answer
    x = 2,404,824.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.