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Finding the Third Proportional to 2,255,875 and 4,697,644

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Solution

The third proportional to 2,255,875 and 4,697,644 is: 9,782,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255,875 : 4,697,644 = 4,697,644 : x
  2. Step 2: Convert to fraction form
    2,255,875/4,697,644 = 4,697,644/x
  3. Step 3: Cross multiply
    2,255,875x = 4,697,644 × 4,697,644
  4. Step 4: Simplify right side
    2,255,875x = 22,067,859,150,736
  5. Step 5: Solve for x
    x = 22,067,859,150,736/2,255,875
  6. Step 6: Final answer
    x = 9,782,394.48

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.