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Finding the Third Proportional to 1,582,160 and 3,410,712

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Solution

The third proportional to 1,582,160 and 3,410,712 is: 7,352,578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,160 : 3,410,712 = 3,410,712 : x
  2. Step 2: Convert to fraction form
    1,582,160/3,410,712 = 3,410,712/x
  3. Step 3: Cross multiply
    1,582,160x = 3,410,712 × 3,410,712
  4. Step 4: Simplify right side
    1,582,160x = 11,632,956,346,944
  5. Step 5: Solve for x
    x = 11,632,956,346,944/1,582,160
  6. Step 6: Final answer
    x = 7,352,578.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.