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Finding the Third Proportional to 2,410,564 and 3,646,950

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Solution

The third proportional to 2,410,564 and 3,646,950 is: 5,517,482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410,564 : 3,646,950 = 3,646,950 : x
  2. Step 2: Convert to fraction form
    2,410,564/3,646,950 = 3,646,950/x
  3. Step 3: Cross multiply
    2,410,564x = 3,646,950 × 3,646,950
  4. Step 4: Simplify right side
    2,410,564x = 13,300,244,302,500
  5. Step 5: Solve for x
    x = 13,300,244,302,500/2,410,564
  6. Step 6: Final answer
    x = 5,517,482.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.