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Finding the Third Proportional to 481,771.13 and 1,046,557.13

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Solution

The third proportional to 481,771.13 and 1,046,557.13 is: 2,273,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,771.13 : 1,046,557.13 = 1,046,557.13 : x
  2. Step 2: Convert to fraction form
    481,771.13/1,046,557.13 = 1,046,557.13/x
  3. Step 3: Cross multiply
    481,771.13x = 1,046,557.13 × 1,046,557.13
  4. Step 4: Simplify right side
    481,771.13x = 1,095,281,815,888.27
  5. Step 5: Solve for x
    x = 1,095,281,815,888.27/481,771.13
  6. Step 6: Final answer
    x = 2,273,448.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.