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Finding the Third Proportional to 1,405,049.63 and 3,315,713.06

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Solution

The third proportional to 1,405,049.63 and 3,315,713.06 is: 7,824,601.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,049.63 : 3,315,713.06 = 3,315,713.06 : x
  2. Step 2: Convert to fraction form
    1,405,049.63/3,315,713.06 = 3,315,713.06/x
  3. Step 3: Cross multiply
    1,405,049.63x = 3,315,713.06 × 3,315,713.06
  4. Step 4: Simplify right side
    1,405,049.63x = 10,993,953,112,833.13
  5. Step 5: Solve for x
    x = 10,993,953,112,833.13/1,405,049.63
  6. Step 6: Final answer
    x = 7,824,601.29

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Why These Related Problems?

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