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Finding the Third Proportional to 1,405,125 and 3,315,889.13

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Solution

The third proportional to 1,405,125 and 3,315,889.13 is: 7,825,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,125 : 3,315,889.13 = 3,315,889.13 : x
  2. Step 2: Convert to fraction form
    1,405,125/3,315,889.13 = 3,315,889.13/x
  3. Step 3: Cross multiply
    1,405,125x = 3,315,889.13 × 3,315,889.13
  4. Step 4: Simplify right side
    1,405,125x = 10,995,120,689,293.27
  5. Step 5: Solve for x
    x = 10,995,120,689,293.27/1,405,125
  6. Step 6: Final answer
    x = 7,825,012.50

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.