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Finding the Third Proportional to 945,634.50 and 2,024,119.13

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Solution

The third proportional to 945,634.50 and 2,024,119.13 is: 4,332,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,634.50 : 2,024,119.13 = 2,024,119.13 : x
  2. Step 2: Convert to fraction form
    945,634.50/2,024,119.13 = 2,024,119.13/x
  3. Step 3: Cross multiply
    945,634.50x = 2,024,119.13 × 2,024,119.13
  4. Step 4: Simplify right side
    945,634.50x = 4,097,058,232,190.77
  5. Step 5: Solve for x
    x = 4,097,058,232,190.77/945,634.50
  6. Step 6: Final answer
    x = 4,332,602.32

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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.