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Finding the Third Proportional to 1,410,900 and 3,135,688

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Solution

The third proportional to 1,410,900 and 3,135,688 is: 6,968,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,900 : 3,135,688 = 3,135,688 : x
  2. Step 2: Convert to fraction form
    1,410,900/3,135,688 = 3,135,688/x
  3. Step 3: Cross multiply
    1,410,900x = 3,135,688 × 3,135,688
  4. Step 4: Simplify right side
    1,410,900x = 9,832,539,233,344
  5. Step 5: Solve for x
    x = 9,832,539,233,344/1,410,900
  6. Step 6: Final answer
    x = 6,968,983.79

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.