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Finding the Third Proportional to 481,352.63 and 1,031,018.63

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Solution

The third proportional to 481,352.63 and 1,031,018.63 is: 2,208,359.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,352.63 : 1,031,018.63 = 1,031,018.63 : x
  2. Step 2: Convert to fraction form
    481,352.63/1,031,018.63 = 1,031,018.63/x
  3. Step 3: Cross multiply
    481,352.63x = 1,031,018.63 × 1,031,018.63
  4. Step 4: Simplify right side
    481,352.63x = 1,062,999,405,096.89
  5. Step 5: Solve for x
    x = 1,062,999,405,096.89/481,352.63
  6. Step 6: Final answer
    x = 2,208,359.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.