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Finding the Third Proportional to 458,429.63 and 1,002,061.13

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Solution

The third proportional to 458,429.63 and 1,002,061.13 is: 2,190,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,429.63 : 1,002,061.13 = 1,002,061.13 : x
  2. Step 2: Convert to fraction form
    458,429.63/1,002,061.13 = 1,002,061.13/x
  3. Step 3: Cross multiply
    458,429.63x = 1,002,061.13 × 1,002,061.13
  4. Step 4: Simplify right side
    458,429.63x = 1,004,126,498,236.27
  5. Step 5: Solve for x
    x = 1,004,126,498,236.27/458,429.63
  6. Step 6: Final answer
    x = 2,190,361.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.