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Finding the Third Proportional to 1,204,814 and 2,533,877

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Solution

The third proportional to 1,204,814 and 2,533,877 is: 5,329,065.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,814 : 2,533,877 = 2,533,877 : x
  2. Step 2: Convert to fraction form
    1,204,814/2,533,877 = 2,533,877/x
  3. Step 3: Cross multiply
    1,204,814x = 2,533,877 × 2,533,877
  4. Step 4: Simplify right side
    1,204,814x = 6,420,532,651,129
  5. Step 5: Solve for x
    x = 6,420,532,651,129/1,204,814
  6. Step 6: Final answer
    x = 5,329,065.44

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.