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Finding the Third Proportional to 1,729,355.06 and 2,463,496.03

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Solution

The third proportional to 1,729,355.06 and 2,463,496.03 is: 3,509,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,355.06 : 2,463,496.03 = 2,463,496.03 : x
  2. Step 2: Convert to fraction form
    1,729,355.06/2,463,496.03 = 2,463,496.03/x
  3. Step 3: Cross multiply
    1,729,355.06x = 2,463,496.03 × 2,463,496.03
  4. Step 4: Simplify right side
    1,729,355.06x = 6,068,812,695,984.50
  5. Step 5: Solve for x
    x = 6,068,812,695,984.50/1,729,355.06
  6. Step 6: Final answer
    x = 3,509,292.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.