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Finding the Third Proportional to 481,420.13 and 1,031,153.63

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Solution

The third proportional to 481,420.13 and 1,031,153.63 is: 2,208,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,420.13 : 1,031,153.63 = 1,031,153.63 : x
  2. Step 2: Convert to fraction form
    481,420.13/1,031,153.63 = 1,031,153.63/x
  3. Step 3: Cross multiply
    481,420.13x = 1,031,153.63 × 1,031,153.63
  4. Step 4: Simplify right side
    481,420.13x = 1,063,277,798,350.64
  5. Step 5: Solve for x
    x = 1,063,277,798,350.64/481,420.13
  6. Step 6: Final answer
    x = 2,208,627.65

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