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Finding the Third Proportional to 480,932.44 and 1,029,061.97

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Solution

The third proportional to 480,932.44 and 1,029,061.97 is: 2,201,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,932.44 : 1,029,061.97 = 1,029,061.97 : x
  2. Step 2: Convert to fraction form
    480,932.44/1,029,061.97 = 1,029,061.97/x
  3. Step 3: Cross multiply
    480,932.44x = 1,029,061.97 × 1,029,061.97
  4. Step 4: Simplify right side
    480,932.44x = 1,058,968,535,527.63
  5. Step 5: Solve for x
    x = 1,058,968,535,527.63/480,932.44
  6. Step 6: Final answer
    x = 2,201,907.07

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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.