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Finding the Third Proportional to 4,092,176 and 6,419,712

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Solution

The third proportional to 4,092,176 and 6,419,712 is: 10,071,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092,176 : 6,419,712 = 6,419,712 : x
  2. Step 2: Convert to fraction form
    4,092,176/6,419,712 = 6,419,712/x
  3. Step 3: Cross multiply
    4,092,176x = 6,419,712 × 6,419,712
  4. Step 4: Simplify right side
    4,092,176x = 41,212,702,162,944
  5. Step 5: Solve for x
    x = 41,212,702,162,944/4,092,176
  6. Step 6: Final answer
    x = 10,071,097.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.