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Finding the Third Proportional to 1,022,284 and 2,175,704

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Solution

The third proportional to 1,022,284 and 2,175,704 is: 4,630,501.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,284 : 2,175,704 = 2,175,704 : x
  2. Step 2: Convert to fraction form
    1,022,284/2,175,704 = 2,175,704/x
  3. Step 3: Cross multiply
    1,022,284x = 2,175,704 × 2,175,704
  4. Step 4: Simplify right side
    1,022,284x = 4,733,687,895,616
  5. Step 5: Solve for x
    x = 4,733,687,895,616/1,022,284
  6. Step 6: Final answer
    x = 4,630,501.79

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.