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Finding the Third Proportional to 480,561.75 and 1,057,046.63

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Solution

The third proportional to 480,561.75 and 1,057,046.63 is: 2,325,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,561.75 : 1,057,046.63 = 1,057,046.63 : x
  2. Step 2: Convert to fraction form
    480,561.75/1,057,046.63 = 1,057,046.63/x
  3. Step 3: Cross multiply
    480,561.75x = 1,057,046.63 × 1,057,046.63
  4. Step 4: Simplify right side
    480,561.75x = 1,117,347,567,423.89
  5. Step 5: Solve for x
    x = 1,117,347,567,423.89/480,561.75
  6. Step 6: Final answer
    x = 2,325,086.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.